Prove the identity: COSX cotx secx tanx = -cos²x.cot²x

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

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Prove the identity: 2 2 sec²x - 2 tan x 2 CS<x Sin 2x seex

A: sec2x - tan2x = 1 sinx = 1/cscx cosx = 1/secx 2sinx cosx  = sin2x

Q: cos x = sin x tan² x cot³ x

A: To prove:- cosx=sinxtan2xcot3x

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: Prove: Sin(x-pi/2) = -cosx

A:

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

Q: Verify the identity: tan x + 1/tan x = 1/(sin x cos x)

A: To verify: tan x+1tan x=1sinx. cosx

Q: 9. Verify (working on one side): CScx = COSX tanx+cotx

A:

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.