Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

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

A:

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

A: sin-4xcos8x

Q: Express the product sin 6x sin 4x as a sum or difference.

A:

Q: Express as a sum or difference:6 cos 5x sin 3x

A: Known fact: sinA+B-sinA-B=2cosA sinB

Q: simplify sin 2x/1-cosx   Not sin^2x its sin2x

A:

Q: Verify sin (x +) = cos(n – x) %3D

A:

Q: Verify the identity.

A: We have  cosx-5π2=sinx   It is known that cosA-B=cosAcosB+sinAsinB   Consider LHS:…

Q: sin 2tan

A:

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

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

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

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

Q: State the half-angle identities used to integrate sin x and cos x.

A: Half Angle Identities are the formulae/relationships used in trigonometric functions to reduce the…

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: Use the fundamental identities to fully simplify cos (-x) sin (-x) sec (-æ).

A:

Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

A:

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: Solve for the values of sin2x, cos2x and tan2x when tanx = 1, on 0≤x≤

A:

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: Rewrite sin ( x in terms of sin(x) and cos(x). 4 |

A: sin ( a - b) = sin a cos b - cos a sin b

Q: verify the identity: tanx + secx = sinx + 1                            cosx

A: Given,

Q: Express the product sin 8x sin 3x as a sum or difference.

A: Given:sin8x sin3xFormula:sinA sinB=12 cosA-B-cosA+B

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

A:

Q: Select the best answer. sin x 1+ cosx + sin x 1+ cosx

A:

Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: verify that (sin(x)-cos(x))^2=1-sin(2x)

A:

Q: What is cosx+tanx over sinx

A:

Q: Why is cos(sin^-1(x)) equal to sqrt(1-x^2)?

A:

Q: Rewrite sin ( x + in terms of sin(x) and cos(x) 4

A: We know  sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

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

A: We will use the below trigonometric identities to solve this

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

A:

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

A: We have to verify the identity  sin2x - cos2x = 2 sin2x -1  To verify the given identity we will use…

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: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: write in terms of x: cos(sec ^-1x)

A:

Q: Evaluate V2 cos sin-! 2.

A:

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

A: Given: sin4xcosx

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: Show that sin x – cos x< V2 V2 -

A: Take RHS first and work on that:

Q: Use reciprocal and quotient identities to find the value. V21 2/3 1. If tanx: 3 and secx = find…

A: Given that

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

A:

Q: Verify that (sin(x) – cos(x)) = 1- sin(2x)

A: sinx-cosx2=sin2x-2sinxcosx+cos2x     ∵a-b2=a2-2ab+b2=sin2x+cos2x-2sinxcosx=1-sin2x…

Q: Evaluate: ( cos$ 2xdx sin 2x

A:

Q: Use the addition formulas to derive: cos (x -) = sinx

A: The given equation is cosx-π2=sinx

Q: tan e de sece+ 4 cos € COS

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

Q: verify the identity: (sinx + cosx)2 = 1 + 2sinxcosx

A:

Q: simplify sin(2x)/cos(x)

A:

Q: Verify the identity: sin2xcotx-cos2x=1

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

Q: Use the identities to find sinx and tanx if secx 2 and sinx < 0. %3D

A: Given that sec x = 2 and sin x &lt;0 we need to find value of sin x and tan x

Q: Verify the identity. sin 3x 1 = 2 cos x- %3D sec x 2 - sin 2x

A: Given: Verify the identity sin3xsin2x=2cosx-12secx for verifying given identity we solve left hand…