Verify each identity mbine two fractions by using a comman denominator sin e sin con e cac Đ(1 + cos' )- 1- cose 1+ cose

Q: las to rewrite the identities. b. sin(8x)-cos(8x)

A: a) We have to use the formula

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

A:

Q: Verify each identity.     cot x = cos 3 x + cos x / sin 3 x - sin x

A: cos3x+cosxsin3x-sinx=2cos3x+x2cos3x-x22cos3x+x2sin3x-x2    ∵cosx+cosy=2cosx+y2cosx-y2&…

Q: Verify each identity 1. sec μ - cos μ = sin μ tan μ 2. 1+sin λ / cos λ + cos λ / 1+sin λ = 2 sec λ

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 5…

A: Solve

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

A: sin-4xcos8x

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

A:

Q: Which expression is equal to (icnx - 1)/(tan x + 1) using identities ?

A: The given question is taken from the tringnometry in which we have to find the equalent form of the…

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step. 5…

A: Trigonometry identity used  sec(x) = 1/cos(x)  tan(x) = sin(x)/cos(x)  sin²(x) + cos²(x) = 1

Q: Establish each identity. as attached.

A: To prove sec2θ=sec2θ2-sec2θ, Start with right hand side as follows.

Q: Suppose that sin(θ)=4/8. What tan(θ)=______.

A:

Q: Simplify tan(2 arctan ). 4/3 2/3 O 3/4

A:

Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: 79. Sin x = 2 +an 즐 14 tan'즉

A: Prove the identity Take RHS

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

A:

Q: sin'xcos°x = (sin'x - 2sin'x + sin°x)(cosx) 5. X. 4 +X.

A:

Q: Prove each identity •cot²x = csc²x - 1 •sinx tanx = secx - cosx

A: We have to prove the given identity. using the trigonometric expression, It is known that, sin…

Q: sin 2x = tanx+

A: We have to prove that sin2x=tanx+tanxcos2x

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: Enter the exact value of each when θ=1/6π. No decimals fraction ONLY, show work.  sin(θ)=…

A: We have to find value

Q: Evaluate

A: Given: sin5π12

Q: If x = 5 tan theta ,  Write the expression  theta / 2 - sin 2 theta /4 in terms of x

A: Known fact: sin2θ=2tanθ1+tan2θ

Q: Establish each identity given in attachment.

A: Establish each identity given in attachment.

Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: sec² () = 1+ cos x 2.

A:

Q: If csc(z) = 6, for 90° < x < 180°, then sin com ) - [ tan) - COS

A: First of all find the value of x, then find the given

Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

Q: cos(Inɔx),>o

A:

Q: sin 2x 5. cot x = 1- cos 2.x

A:

Q: Prove each identity is true. cos x sin x 19. sin x + cosX %3D 1-tan x 1- cotx

A: tan x = sin xcos x= 1cot xl

Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 9…

A:

Q: prove the identity cosx + sinxtanx= secx

A: The given identity,cosx+sinx tanx=secx

Q: Prove the identity. 1+ cosx + sinx sinx =2 cscx 1+ cosx

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: To verify the identity by transforming left hand side into the right hand side. cot-xcsc-x=cosx…

Q: Verify each identity.     tan 4 x= sin 5 x+sin 3 x/cos 3x+cos 5x

A:

Q: Verify the identity. (Simplify at each step.) 177 sin + X cos(x)

A: Given sin17π2+x=cosx

Q: Verify that each equation is an identity.  (Tan x / 1+ cos x) + (sin x / 1-cos x) = cot x + sec x…

A:

Q: Prove the identity. sin x + sin 3x cos x + cos 3x = tan 2x Use the Sum-to-Product Formulas and then…

A: Given : sinx + sin 3xcosx + cos3x = tan2x

Q: If csc(x) = 8, for 90° < x < 180°, then sin) Preview %3D cos) Preview COS %3D Preview tan 2 %3D

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, 1cos-x-tan-x sin-x=cos x The objective is to verify the identity by…

Q: Verify the identity: sin2xcotx-cos2x=1

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