What is value of sin 18 Let θ = 18° 5θ = 5 × 18° = 90° 2θ 3θ = 90° 2θ = 90° – 3θ sin 2θ = sin (90° – 3θ) sin 2θ = cos 3θ 2 sin θ cos θ = 4 cos3 θ – 3 cos θ 2 sin θ cos θ – 4 cos3 θ 3 cos θ = 0 cos θ (2 sin θ – 4 cos2 θ 3) = 0 2 sin θ – 4 cos2 θ 3 = 0 2 sin θ – 4 (1 – sin2Question 1 Find all the values of x such that (i) −10 π ≤ x ≤ 10 π and sin x = 0 Solution sin x = 0 x = sin1 (0) Now we have to find the angles of sin for which we will get the value 0Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries
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Sin π/2 value- The value of ∫(π/2 → π/2) sin 2 x/(12 x)dx is (1) π/8 (2) π/2 (3) 4π (4) π/4 jee; Evaluate each of the following tan^1(1/√3) tan^1(√3) tan^1(sin(π/2)) asked Mar in Trigonometry by Yaad (355k points) inverse trigonometric functions;
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If a × cos² θ b × sec² θ is given, then the least value = 2√ab Now given, cos² θ sec² θ Here, a = 1, b = 1 Now, least value = 2√ (1 × 1) = 2 × 1 = 2 Question 12 The equation (cos p – 1) x² cos p × x sin p = 0, where x is a variable, has real roots Then the interval of p may be any one of the following Solution Set Simple Harmonic Motion Physics 107 Answers Simple Harmonic Motion 1 The maximum displacement from the equilibrium position A = 100 cm The time for one complete oscillation T = π/2 s Notice the maximum positive displacement x = 100 cm occurs at t = 0 and the next time at t = π/2 sThe exact value of sin(π6) sin ( π 6) is 12 Likewise, what is the exact value of sin 5pi 3?
And π − θ is in second quadrant ∴ s i n (π − θ) is positive in second quadrant by ASTC rule sin ( π x ) sin ( π − x ) csc 2 x = − sin x sin x csc 2 x To find value of sin( π 3) sin( π 3) = sin60∘ From the table above, sin( π 3) = sin60 = √3 2 = 0866 It's a special right triangle having angles 30, 60 & 90 The sides will be in the ratio 1√32 as seen from the below triangle Answer link5 Question Details SPreCalc6 503 Find sin t and cos t for the values of t whose terminal points are shown on the unit circle in the figure t increases in increments of π/4 t sin t cos t
The exact value of sin(π 4) sin ( π 4) is √2 2 2 2 √2 2 2 2 The result can be shown in multiple forms Exact Form √2 2 2 2 Decimal FormShare It On Facebook Twitter Email 1 Answer 1 vote answered by rubby (5k points) selected by Vikash Kumar Best answer Ans 4The trigonometric functional values of angles coterminal with 0, π/2 , π, and 3π/2 are the same as those above, and the trigonometric functional values repeat themselves (eg, π and 3π are coterminal and sin (π) = sin (π 2π) = sin (3π) = 0) This illustrates the fact that the trigonometric functions are periodic
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The Value of Tan X Sin ( π 2 X ) Cos ( π 2 − X ) CBSE CBSE (Arts) Class 11 Textbook Solutions 85 Important Solutions 12 Question Bank Solutions 7358 Concept Notes & Videos 503 Syllabus Advertisement Remove all ads The Value of Tan X Sin ( π 2 X ) Cos ( π 2 − X )The exact value for sin 2π3 = √32 For the unit circle sin 2π 3 is in the 2nd quadrant making sine positive For the unit circle values on the 60o angles all have a value of (12,√ 3 2) where x= cosine and y= sine 2π 3 = 1oView solution > t a n − 1 y = t a n − 1 x t a n − 1 ( 1 − x 2 2 x ) where ∣ x ∣ < 3 1 Then a value of y is Hard View solution > The value of cot ( c o s e c − 1 3 5 tan − 1 3 2 ) is equal to Hard
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Subsequently, question is, what is the exact value of sin 5pi 6?Sec 5Pi/4 Radians The sec of 5pi/4 radians is √2, the same as sec of 5pi/4 radians in degrees ToThe sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module After that, you can start your calculations To calculate sine online of π 6, enter sin ( π 6), after calculation, the result 1 2 is returned
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If cos^1x cos^1y cos^1z = π, then prove that x^2 y^2 z^2 2xyz = 1 asked in Trigonometry by Vikky01 ( 418k points) inverse trigonometry sin(α β) = sin α cos β cos α sin βsin(α − β) = sin α cos β − cos α sin βThe cosine of the sum and difference of two angles is as follows cos(α β) = cos α cos β − sin α sin βcos(α − β) = cos α cos β sin α sin βProofs of the Sine and Cosine of the Sums and Differences of Two Angles We can prove these identities in a variety of ways In Trigonometry Formulas, we will learnBasic Formulassin, cos tan at 0, 30, 45, 60 degreesPythagorean IdentitiesSign of sin, cos, tan in different quandrantsRadiansNegative angles (EvenOdd Identities)Value of sin, cos, tan repeats after 2πShifting angle by π/2, π, 3π/2 (CoFunction Identities or P
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Figure 2 (a) The basic graph of y = sinx (b) Changing the amplitude from 1 to 2 generates the graph of y = 2sinx (c) The period of the sine function changes with the value of B, such that period = 2π B Here we have B = 4, which translates to a period of πSin 2t = 2 sin t cos t cos 2t = cos 2 t – sin 2 t = 2 cos 2 t – 1 = 1 – 2 sin 2 t Less important identities You should know that there are these identities, but they are not as important as those mentioned above They can all be derived from those above, but sometimes it takes a bit of work to do soSpelled out as "pi") is a mathematical constant, approximately equal to It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitionsThe number appears in many formulas in all areas of mathematics and physicsThe earliest known use of the Greek letter π to represent the ratio of a
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Sine calculator online sin(x) calculator This website uses cookies to improve your experience, analyze traffic and display ads 2340 sin θ − 1251 cos θ =2660 cos (θ 1081) Checking using a graph, we obtain the following for each side of our answer We see that our negative cosine curve has an amplitude of 2660 and it has been shifted to the left by 1081 radians, which is consistent with the expression −2660 cos ( θ 1081)Sin1 (1) = Π/2 (in radian) Since the inverse sin 1 (1) is 90° or Π/2 '1' denotes the maximum value of the sine function Hence, for every 90 degrees it will happen, such as at Π/2, 3Π/2, and so on
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⇒ sin (sin − 1 x) = sin (2 π − sin ∴ x 2 = 1 − y 2, use basic rule of trigonometry Video Explanation Was this answer helpful?The exact value of sin(π3) sin ( π 3) is √32 What is the secant of 5pi 4? Ex 22, Find the values of sin (π/3 −"sin−1" (−1/2)) is equal to(A) 1/2 (B) 1/3 1/4 (D) 1Solving sin1 ((−𝟏)/𝟐)Let y = sin1 ((−1)/2) y = − sin1 (1/2) y = − 𝛑/𝟔 We know that sin−1 (−x) = − sin −1 x Since sin 𝜋/6 = 1/2 𝜋/6 = sin−1 (𝟏/𝟐)Thus, sin−
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45 (12) (27) (3) Choose An Option That Best Describes Your Problem Answer not in Principal value of tan^ 1 1 cos^1 (1/2) sin^1(1/2) is equal to (a)2π/3 (b)3π/4 (c)π/2 (d) 6π asked in Mathematics by Golu (The number π (/ p aɪ /;
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π/2 = 180/2 = 90 So , now you got the value of π/2 Now you need to find sin 90 The sin key is present in the 3rd row of the keys below the the 'ON' button It is placed at 3rd last position So if you want to calculate sin 90 , you just need to press the sin button and then the value ie 90 and then press '=' You will get the answer sin(π/2)=1 sin ( π /2 – x) Since it is π/2, sin will become cos Here x is an acute angle So, π/2 – x = 90 – x is an angle in 1st quadrant now cos( π 2) = 0 and sin( π 2) = 1 ⇒ sin(x − π 2) = sinx(0) −cosx(1) = −cosx This is a useful result and worth knowing for future reference Answer link Rhys
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Question 1 Find the value of tan(5π/6) Solution ⇒ tan(5π/6) = tan(π/2 π/3) = cot(π/3) as tan(90 θ) = cotθ here θ = π/3 so cot(π/3) = 1/√3 So, tan(5π/6) = 1/√3 Question 2 Find the value of tan(5π/4) Solution ⇒ tan(180(2) If sin A = 3/5 and cos B = 9/41 , 0 < A < π/2, 0 < B < π/2, find the value of (i) sin(A B) (ii) cos(A − B) Solution (3) Find cos(x − y), given that cos x = −4/5 with π < x < 3π/2 and sin y = −24/25 with π < y < 3π/2 SolutionIf sin1 (x / 13) cosec1 (13 / 12) = π / 2, then the value of x is If sin1 x (x 2 / 2) (x 3 / 4) cos1 (x 2 (x 4 / 2) (x 6 / 4) ) = π / 2 For 0 x √2, then x = If sin1 a sin1 b sin1 c = π, then the value of a√(1 a 2) b √(1 b 2) c√(1 c 2) will be If
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0 0 Similar questions The value of tanSiny = sin(60×π/180) siny = sinπ/3 Hence y = π/3 Which is the range of principal value of sin−1 ie, −π/2π/2 Hence, sin−1(sin2π/3) = y = 3πFrom the graph above it is clear that sin(n*pi/2) is positive if it lies in 1st or 2nd quadrant and is ve if it lies in 3rd or 4th quadrant Ex sin(3*pi/2) = 1 sin(5*pi/2) = sin(2*pi pi/2) = sin(pi/2) = 1 If you don't know about periodicity of functions refer Periodic function Wikipedia Hope it
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The Trigonometric ratios of angle π/2 θ Thinking of θ as an acute angle (that ends in the 1st Quadrant), (π/2θ) or (90°θ) ends in the 2nd Quadrant where only sine of the angle is positive The (π/2θ) formulas are similar to the (π/2θ) formulas except only sine is positive because (π/2θ) ends in the 2nd Quadrant sin(π/2θ sinθ = Opposite Hypotenuse Now if we increase the magnitude of θ slowly then the magnitude of opposite will slowly go to increase and the magnitude of adjacent will go to decrease When θ becomes equal to π 2 then adjacent will vanish and opposite will coincide with the hypotenuse This means when θ = π 2 then "opposite"="hypotenuse"#The value of sin 180 is equal to the value of sin 0 Learn here to find the value of sin pi or sin π by using trigonometry functions and formulas Derivation of sin 180 degrees at BYJU'S
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Transcript Ex 22, 16 Find the values of sin1(sin〖2π/3〗 ) Let y = sin1 (sin 2𝜋/3) sin y = sin 2𝜋/3 sin y = sin (1°) But, Range of sin1 is (−π)/2, π/2 ie 90° ,90° Hence, y = 1° not possible Now, sin y = sin (1°) sin y = sin (180° – 60°) sin y = sin (60°) sin y = sin (60 × 𝜋/180) sin y = sin 𝜋/3 Hence, y = 𝝅/𝟑 Since this is in range of Explanation The exact value for sin 2π 3 = √3 2 For the unit circle sin 2π 3 is in the 2nd quadrant making sine positive For the unit circle values on the 60o angles all have a value of (1 2, √3 2) where x = cosine and y = sine 2π 3 = 1o Making the sin 2π 3 = √3 2The principal value of sin x lies between – π / 2 and π / 2 sin θ = sin (π – π / 3) = sin (π / 3) The principal value of sin1 (sin 2π / 3) is π / 3 Was this answer helpful?
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