Show that sin v + cos -1 V = 2

Q: Verify that the equation is an identity. 2 sin x tan 2.r = 2 cos x - sec x

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: Show that 0=30° is a solution to (sin 0)sine 4. 1 5/-

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Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

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Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: Verify that if y = ƒ(θ2 sin θ, then y'(θ) = ƒ'(θ) sin θ + ƒ(θ) cos θ.

A: We use the product rule

Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

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Q: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

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Q: Verify sin (x +) = cos(n – x) %3D

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Q: fip xp COS T 2. Oa) 2x sin(x) cos(2x) P-sin(2x) d- sin(x)+2x Osin(x) acer

A: y=cos (x2) We need to find dydx

Q: coso dz+ (2Z o)do= o sin © - Cos

A: Use exactness formula to check and then solve

Q: Prove a (cosa + cosß) + (sina + sinß) = 4cos² (@ - B) 2 %3D

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: Evaluate: / [cos(x) – sin(x) ]dx

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Q: sin (3x+1)dx 4 cos (3x+1) C

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Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

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Q: Evaluate cos x -2 sinx sin 2x dx Round to 4 decimal places.

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Q: Verify the identity. sin(x + y) – sin (x - y) = 2cos.xsiny

A: To verify the identity, sinx+y-sinx-y=2cosxsiny

Q: Find 13 sin(82)da [13 sin(8x)dz = +C

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Q: Express the product sin 7x cos 3x as a sum or difference.

A: Given information: The given expression is sin7xcos3x. Concept used: 2sinAsinB=sinA+B+sinA-B…

Q: Answer in term of "u" : cos(sin^(-1)(u))

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Q: 12 Sin X de =?

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Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

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Q: sin 20 d0 J Vcos² 0 + 16 V cos?

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Consider these two trigonometric functions: f(x) = 3 sin(2x) +4 %3D s(x) - 3 sin(2x- + 4 -

A: f(x)=3sin(2x)+4applying formula of sin2xsin2x=2sinxcosxafter applying sin2x…

Q: Compute sin(sin-(2/3)) O 2/3 This quantity does not exist.

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Q: Find cos(sin^−1(−1/2))

A: Trigonometric

Q: Find x so that sin 3x + 10 cos x+ %3D

A: Here we have to find the value of x. The solution is following.

Q: Solve for the angle 0 where 0<0< 2n. sin 20 - v2 cos 0 = 0 0 =

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Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

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Q: Express the product sin 4x cos x as a sum or difference.

A: Given: sin4xcosx

Q: sin (x) = 0.8. If x and y are complementary, what is cos (y)?

A: In the question it is asked to calculate the value of cos(y) for sin(x)=0.8. It is given that x and…

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: Evaluate cosx (2 + sin x)°dx

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Q: sin 0 cos 0 d0. Jo 0,

A: Here we to solve definite integral.

Q: v in the quadrant IV COS (U+V)=

A: we have to find the exact value of cos(u + v) given that sin u=-3/5 with u in quadrant III, and sin…

Q: (3) Prove that Sina cos a -Sinß cos B sin cos B sinß cosy sin(2+ B+y)

A: We have have to solve given problem:

Q: Show that the equation has exactly one real root. 3x + cos(x) = 0

A: Given: 3x+cosx=0 Let, fx=3x+cosx As we know that: If any function which is either strictly…

Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc…

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Q: Show that n/2 sin x dx sin x + coS X %3D 4

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Q: If sin x + sin y = ½ and cos x – cos y = 1, find x

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Q: Differentiate (sin(ax+b)/cos(cx+d))

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Q: 5. sin'(21) cos°(21) dt

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Q: Show that the equation has exactly one real root. 2x + cos x = 0

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Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.