T 29. sin x -Cos x

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

A:

Q: establish the following identities: sin3x=(sinx)(4cos^2 x-1)

A: Given,

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: 5m Evaluate sin, cos, tan of 0=

A: on solving this we get the

Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

A:

Q: Verify the identity : cos (x - π/4) = √2(cos x + sin x)/2.

A: We use cos(A-B)=cosAcosB+sinAsinB formula

Q: Evaluate 13 sin(x) cos(x) dx

A:

Q: Simplify the following identities: 14: 1 sec'x 15.: COSX COSX 1 - sinx 2. sin'x tan'x 1+ sinx

A: Some trigonometric identities are,

Q: 2 cos" (x)–sin°(z)+1 cos(x) 3 cos(x) 10. Verify the following identity, justifying each step.

A:

Q: cos(x + y) cos(x – y) = cos? (x) – sin²(y)

A:

Q: Verify the following identity. 2 sin x+ cos 2x = 1- sin x

A:

Q: Verify the identity: cos(3x) cos(x)(1 – 4 sin? (x))

A: we have to verify the given identity. the solution is following

Q: Evaluate So sin(x) dx 1+sin(x) 2 Select one: O 1+ 2 2 -1-5 -1+5 2 2

A:

Q: Evaluate: sin rv1- 4 cos² x dx. /9 – (In r)² Evaluate: dr.

A:

Q: Verify the identity (1 + csc x)/sec x - cot x = cos x

A: We have to verify: 1+cosecxsecx-cotx=cosx We will use following relations of trigonometric…

Q: EX/Show that cos"x (1+ cos2x)

A:

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

A: We have to find exact value of the expression: cos-132 We know the exact value, cos π6=32 Therefore,…

Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

A:

Q: Complete the identity. sin 2x- tan x = ? O A. tan x cos X O B. - tanx cos 2x O C. tan x cos 2x O D.…

A:

Q: Verify the identity: sin (x + π/2) = cos x

A: We have to verify the identity sinx+π2=cosx We know that sina+b=sina cosb+cosa sinb Using the…

Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

A:

Q: Verify the identity. 2 sin(x) cos(x) = 1 (sin(x) + cos(x))2 - 1

A:

Q: EVerify the following 1. (sec 0)* – (sec8)²= (tan 6)*+(tan 8)² tan x-sin x 2. (sin x)3 sec x 1+cos x

A:

Q: Use an identity to solve the equation cos 2x = cos x on the interval [0, 2π).

A: Given:cos2x=cosx on the interval [0,2π)Formula:cos2x=cos2x-sin2xsin2x=1-cos2x

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

A:

Q: 8. Determine one possible value for x when 0≤x≤ 2π for each of the following. Give answers in…

A:

Q: Verify the identity: tan2 t/sec t = sec t - cos t

A: Given : tan2tsect  = sect - cost

Q: Verify the identity. (Simplify at each step.) 6 cos (T/2) – x 6 tan x sin (1/2) – x 6 cos (u/2) – x…

A:

Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Prove the identity. s (xxy) sinx- sin (x-y) cosx= siny cos

A:

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

A:

Q: Verify the identity. sin(x) tan (즐) = 1 - cos(x) .2

A:

Q: Choose the equivalent sin'x O 1- cos-x

A: Given sin^2(x)

Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec?x = 1-sinx 1+sin…

A:

Q: If csc(z) = 4, for 90° < z < 180°, then sin (;) - ()- cos tan

A:

Q: 4) Write the given expression in terms of x and y only. cos(sin-1(x) – tan-(y))

A:

Q: 3 Use basic identities to simplify sin° x + cos“ x sin x.

A: sin3x+cos2xsinx This can be written in the form sinx3+cos2ssinx Now simplify this expression  So…

Q: Complete the statements.

A: a). As x→-1+, sin-1x→-π2

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: 40. Verify the following identities. a) sin (2r) = tan x (1 + cos (2x)) cof (20)3극(cot0-tan e) b)…

A: sin2x=tanx(1+cos2x)we know that…

Q: Which of the following is equivalent to [sin(-x) + cos(-x)]? 1 - 2sinxcosx O 1 O 1+ 2sinxcosx O…

A: Use Trigonometric identities and simplify.

Q: I. Verify the following identities. 1. sin0+cotocos0= csce 3. sin 0(csco-sin 0) = cos' 0 csc 0 -=…

A:

Q: If 16(sinx)? + 16(cosx)2 10 then x-... O T/4 O T/3 O T/2 3π/4

A:

Q: Prove the following identity and show steps Sinx-cosx+1/sinx+cosx-1=sinx+1/cosx

A:

Q: Verify the identity. (Simplify at each step.) cos t seci cos t sec(플-)- (cos: 1 = (cos t) cos t =…

A: We have to verify he identity  cost⋅secπ2−t=cott We know that secπ2−t=csct Hence,…

Q: Verify the identity. 1+ sint cos t ost 1- sint

A: Given problem: 1+sin(t)cos(t)=cos(t)1-sin(t)

Q: Verify the identity: sin t tan t = (1 - cos2 t)/cos t

A: To Prove - sint tant = 1-cos2tcost