Guven yef)= cos(x)+1,find its inverse

Q: Rewrite cos(x) in two different ways to make two unique expressions.

A: To rewrite cosx in two different ways to make two unique expressions.

Q: Verify the identity. cos²t sint =csct- sint

A:

Q: Explain how to find ∫ cos15 x dx without actually integrating.

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Q: Express cos(tan-(2x + 3)) in an algebraic form.

A:

Q: convert csc x/ cos x to sec^2 x/ tan x

A:

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

A: Given: sin-1 v+cos-1 v=π2

Q: Express as a sum or difference.sin (-4x) cos 8x

A: sin-4xcos8x

Q: Integrate  cos(8x) . sin^2 (8x)

A:

Q: Rewrite cos ( x in terms of sin(x) and cos(x) 3 -

A:

Q: If sin x + 1/ sin x = √√2, then sin²x + 1/ sin²x is equal to

A: We have to find the value of sin^2x + 1/sin^2x

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Verify sin (x +) = cos(n – x) %3D

A:

Q: and sin x<0, find: Sin (2x) If cosx = 12

A: cos(x) = π/12  Then,  sin(x)  =  1-cos2x  =  1-π2122  =  144-π212

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx=- 1 and x terminates in quadrant II. sin 2x %3D cos 2x %3D…

A:

Q: If sinx^2 =a/b find cos(90-x)

A: See the details solution in below I am consider  sin(x^2 )

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: = 4 cos 3x – 3 sin 4x

A:

Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can…

Q: Since the functions y cos(x) and y -1 = cos are inverse functions, explain why COS (cos(-)) is not…

A: use the range of arc cosx to find the values

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

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

A:

Q: Integrate sin (2a)cos (2a)da OS

A:

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

A:

Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

Q: *cosx= 24 sinxyo, cos (x+5") 25

A: Given: cosα=2425, sinα&gt;0 To determine: cosα+5π6

Q: Verify the identity. cos 3x 1 csc x-2 sin x 2 sin 2x

A:

Q: cos(Inɔx),>o

A:

Q: 9. cos(x-)

A:

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

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

A: Given: sin4xcosx

Q: Find cos(2x) Given that sinx= 4/5 and 0&lt;x≤ pi/2

A:

Q: Express as a sum or difference.3 cos x sin 2x

A: To express: The expression 3cos x·sin 2x as a sum or difference. Given: The expression is 3cos x·sin…

Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: Express as a product.cos x + cos 2x

A: Given expression: cosx+cos2x

Q: verify the identity sin2x-sin2y=cos2y-cos2x

A:

Q: Express cos(tan-1(2x + 3)) in an algebraic form.

A: Given costan−12x+3 We have to write costan−12x+3 in an algebraic form. Let θ=tan−12x+3…

Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: Show that 4 sin x cos 2x + 3 = 8 cos %3D x.

A: We will use the formula of cos 2x and other formulas of trigonometry to prove left hand side is…

Q: Verify the identity: sin2xcotx-cos2x=1

A: Given that, The identity is, sin2x cotx - cos2x = 1 we have to prove it.