Simplify sin x(cotx + tan x) secx COSX COSx - 2 CSCX + 1

Q: 5. Simplify. tanx (cscx - sin x)

A: The given expression is tanxcscx-sinx. We have to simplify the given expression. Here we use the…

Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

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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: 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: Simplify tan 0-sec²0|1.

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Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

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Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: How would I simplify secx-cosx/sinx?

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Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: cotx cscx tanʼx = secx

A: Given identity is : cotx cscx tan2x=secx To verify the given identity.

Q: Verify the equation is an identity  (Tan^2x-1)/(sec^2x) =(tanx-cotx)/(tanx +cotx)

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Q: Verify the identity. sin x + sin x cotx= cSC X

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Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

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Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: tan 5X lin X→0 Sin子X

A: Given limit is  limx→0tan5xsin7x

Q: simplify sin(180degrees-x)   A.cosx B.sinx C.-sinx D.-cosx

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Q: If tanx = (a/b) find the value of (cosx+sinx)/(cosx-sinx)

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

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Q: sin x 5 2 0, cos x

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Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: If sinX = -1/3 and cosX is positive, determine the exact value of cotX.

A: We know, cosx= ±√(1-sin2x) cotx= cosx/sinx

Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

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: tanx+secx-1 1+sinx tanx-secxx+1 cosx

A: We have prove trigonometric identities tanx+secx-1tanx-secx+1=1+sinxcosx Left hand side:…

Q: Solve the equation on the interval [0, 27). tanx sinx = tanx

A: Period of the tangent function tan x is π. Period of the sine function sin x is 2π. If we have the…

Q: 2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

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Q: Find sec(x) and csc(x) if tan(x) =7 and sin(x) >0

A: The objective is to find sec(x) and csc(x) if tan(x) =7 and sin(x) >0

Q: cosx

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Q: sin 5a - sin 2a ]sinO OcosO olo

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. cotx (1+ tan'x) -…

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

A: See below the answer and explanation

Q: COs o + Sin O = Sec0-tan Sec o CSoco

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Q: 8. 1 sinxcosx tanx + cotx

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Q: How do I simplify 1+cotx/sinx+cosx?

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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: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: how to verify  step by step cos2x/sin2x+sinx/cosx=csc2x

A: Given:

Q: Verify Cot x+ 1 = CSCx (Cosx + sin x)

A: Right-hand side: CSCx (Cosx + sin x)=CSCxCosx+CSCxsinx---(1) We know that CSCx=1/sinx and…

Q: If sinx+cosx = /2 sin (90° – x ),Determine cotx

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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 cosx/(secx sinx) = cscx - sinx

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Q: • tan xcos x = cotx %3D cScx • (1- sinx)[1+ sin(-x)] = •csc?x - cot2x =

A: We need to simplify the given trigonometric expressions.

Q: Verify identity: sinx/1+tanx=cosx/1+cotx

A: To prove sinx/1+tanx=cosx/1+cotx.The given equation is,

Q: Prove the identity Sinx/1-cosx=secx+1/tanx

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Q: Express (sin2x)f in terms of multiple angles.

A: Proceed as shown below

Q: Express sin 5x + sin 7x as a product of trigonometricfunctions.

A: To Determine: Express sin3x+sin7xas a product of trigonometric function Given: we have a…

Q: tan(x) + sec(x) simplifies to f(x) = f(x) cos(x) where

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Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1