(cos^4 x) - (sin^4 x) = cos2x   verify the identity

Q: Find the exact value of sin(-5π/8). Show work

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Q: (1 point) Simplify cos(sinz).

A: We simplify the given.

Q: if sinx+cosx=1/2,what is the exact value of sin2x

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Q: 16. Solve sin(2x)=- =- cosx on the interval 0, 27). State exact values only.

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Q: Find the value  (1-sin2x)sec2x=1

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Q: cos8x - cos 6x Using Sum to Product identities, verify -tan x sin 8x + sin 6x

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Q: If /3tan0=3sin0,find the value of sin*0-cos²0

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Q: verify the trigonometric identites 2-cos2 x/sinx= cscx +sinx

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Q: Verify that (sinx-cosx)2=1-sin(2x)

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Q: 2. Sinx- Cosh

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Q: ( Find all degrae solutims to Cos x- 2sinx Cosx20 Give all ansuersas exat values in radian.

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Q: If cos (-x) =, find sin(-x).

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Q: Use sum or difference identities to find the general solution for the equation. Show all step cos 5x…

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Q: find the value of sin15 degree

A: Given : sin15°

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

Q: Find the smallest positive angle x in degree 1) cosx = -1/2 2) sinx = -1/2 3) tanx = -√3 4) Cscx =…

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Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: Find the exact value of the expression whenever it is defined.

A: Given, cossin-11517-sin-1817 now find value of the expression we know, sin-11517=cos-1817…

Q: Compute without using a calculator.

A: To evaluate: sin-1sin-5π6 Solution: We know that, sin-x=-sinx and sin-1-x=-sin-1x Evaluating the…

Q: Find the exact value of sin195o

A: Find the exact value:

Q: It is true that sin (3pi/2)=-1. Explain why arcsin (-1)≠(3pi/2)

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Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: If sinX = -1/3 and cosX is positive, determine the exact value of cotX.

A: We know, cosx= ±√(1-sin2x) cotx= cosx/sinx

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: IF 3 TANQ = 3SINQ FIND THE VALUE OF SIN²Q - COS²Q.

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Q: explain why sin(0)=cos(90-0)

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Q: Is Cscx-1/1-Sinx=cscx

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Q: Find given - cosx sinz

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Q: How many solutions on the interval [0, 2020π] does the equation 1/2 sin2x + 1 = sinx + cosx have?

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Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: 10) Verify the identity sin0+cos0 sin0-cose %3D = sec0csc0 cose sino

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Q: 5) [ Arc sin- xdx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the exact value of the expression. sin-(- v3/2)

A: GivenSin-1-32By simplification we get that-Sin-132=-arcsin32 Now look the below table  x…

Q: If sinhx=-1÷2,then coshx is

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Q: sin 60⁰ cos 300⁰

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Q: Find the exact value. -5n sin- 6. Type + or - [ ?

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Q: If cosθ>0 and tan θ= -2/3, find secθ + tanθ/ secθ - tanθ

A: Consider the trigonometric functions: tan θ=-23……1cos θ&gt;0……2

Q: What is the exact value of cos (tan ¹(-1)) 2 -? sin cos 08-¹(- +/-))

A: We have to find the exact value of costan-1-1sincos-1-32.

Q: Differentiate sin3 x

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Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: find cot [sin^-1(-2/5)]

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Q: What is the equivalent to sinθtanθcscθ for all values of θ for which sinθtanθcscθ is defined?

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Q: Find the indicated number (i) sec-(-2v3/3) (ii) cos(sin-12+ sec-1 3)

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Q: 1 - 2 cos²(x) + cos“(x)

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Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)

Q: please show all steps of how to verify identity  (1-cosx)/(sinx)   +   (sinx)/(1-cosx)  = 2cscx

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Q: quat sin-'(2x) + cos-'(3x) = 3

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Q: Express sin 5x + sin 7x as a product of trigonometricfunctions.

A: To Determine: Express sin3x+sin7xas a product of trigonometric function Given: we have a…