Prove the identity csc(-x)-sin(-x)=-cosxcotx Explain each step

Q: cos x Prove: tan x = sec x. To receive full credit, you must show all steps. - 1-sin x

A: To prove,           cos x1-sin x - tan x = sec x.

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

A: The given identity is cscxcos2x+sinx=cscx.

Q: please show all steps to verify a identity  (1/1+sinx)    -    (1/1-sinx)  =-2sinxsec2x

A:

Q: Complete the identity. sin'x (cscx+ se2x) = sec2x X. CS sec-x

A: To show: sin2x(csc2x+sec2x)=sec2x Solution: Considering LHS sin2x(csc2x+sec2x) On simplifying…

Q: All progression work must be shown Prove the identity: COSX secx cotx tanx = -cos²x cot²x

A:

Q: 1-sin'(플-x)

A: The objective is to simplify the expression.

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

A: The given identity is, sin -x sec -x=-tan x. The objective is to verify the identity by transforming…

Q: Verify the identity: sec4 x - sec2 x = tan4 x + tan2 x.

A:

Q: Prove the identity. csc (-x)- sin (-x)=- cos x cot x

A: we know that sin(-x)=-sinx than csc(-x)=1/sin(-x)=1/-sinx than  1/-sinx -(-sinx) (1/-sinx)+sinx…

Q: Verify the identity. (Simplify at each step.) Let 8 = sin X-2 tan(sin−¹(*²)) = √9+ (x - 2)² X-2 -¹…

A:

Q: Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

A:

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: Establish the identity: csc θ x tan θ= sec θ

A:

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

A:

Q: Simplify sin x (1-cosx)(1+cosx)

A:

Q: Verify the identity. (Simplify at each step.) 8 cos COS[(π/2) - X] sin [(1/2) -x] 8 COS[(π/2) -x]…

A: You must have idea about the basics of trigonometry formula in order to understand this problem.

Q: Verify identity sec x - sec x sin2 x = cos x.

A: Given ,           sec(x) - sec (x)sin2(x) = cos (x).

Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

A: Given : 1-tanxsinx=cscx-secx

Q: Verify that the equation is an identity. cos 2x = COS X - Sin x tan x CoS X To verify the identity,…

A: Using trigonometric formula, we verify

Q: tan x + sin x Express in terms of cosine cSC x + cotx only

A: Given expression: tan x+sin xcsc x+cot x

Q: 1- Sin'x = cos1-x?

A:

Q: Prove the identity. secx- sin x tanx= cosx

A: Given,          secx-sinxtanx=cosx

Q: 9. Establish the identity: tan2 +1 sec x 1 = sec x LHS

A: Establish the identity

Q: Verify the identity. (Simplify at each step.) tan4 x = tan² x sec² x - tan² X tan4 x = (tan² x) = =…

A: I have appended the formula used in the solution part of the question

Q: please show all steps to verify the identity

A:

Q: Prove the identity. cosx-sinx/sinx cosx = cscx-secx

A: See below the answer and explanation

Q: (7cosx-sinx)2 + (cosx+7sinx)2 = 50 Verify the identity.

A: Given,

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.

Q: Verify the folowing equation is an identity with work shown (sin4(x)-cos4(x))/sin2(x)=2-csc2(x)

A: To verify:

Q: Prove the identity. tanx (1- sin'x) =; sin 2x Note that each Statement must be based on a the right…

A:

Q: и Rewrite sin tan -1 as an algebraic expression in U. 3

A: Given,         sintan-1u3

Q: Verify the identity. (Simplify at each step.) tan x cotX sin X CSC x tan x cot x sin x sin x

A: The given trigonometric identity is,

Q: verify the identity

A:

Q: Verify the identity: csc x - cos x cot x = sin x.

A: Given identity, cscx-cosxcotx=sinx

Q: Verify the identity. (Simplify at each step.) cos³ x sin³ x = (sin³ x sin x)cos x cos³ x sin³ x =…

A: Given cos3x sin3x=sin3x-sin5xcosx

Q: Simplify 3 TT sin-(sinx) if TSXS 2 - -x- T ーX π-X x- π

A: Given, To solve  sin-1(sinx)  if π≤x≤3π2

Q: Verify the identity. (Simplify at each step.) tan2 θ sin θ sec θ tan θ )/cos θ )tan θ-sec θ tan θ…

A: The given trigonometric identity is,

Q: Prove the identity sin x(cscx- sin x) =

A: An identity is a mathematical statement that is valid and true under any condition. It is known that…

Q: Verify identity cos2 x - sin2 x = 1 - 2 sin2 x.

A: The given trigonometric equation (identity) is: cos2x-sin2x=1-2sin2 x To verify this, take the left…

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

A: Given sin17π2+x=cosx

Q: Find. sin tan-1

A: Sin(tan-1a/4)

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: Complete the proof of the identity by choosing the Rule that justifies each step. (csc'x-1) sinx=…

A:

Q: Prove the identity. cos (-x) 1- sin (-x) = secx- tanx

A:

Q: Prove the identity. cos (-x) 1- sin(-x) secx- tanx

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.