Find the exact value by applying the double or half angle identities: tan^2⁡(θ/2)=(sec⁡(θ)-1)/(sec⁡(θ)+1)

Q: please show all steps of how to verify the identity 1)   1+ (tan2x)/(secx+1)=secx

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Q: Help.

A: Given:The known value,

Q: Verify the identity. sec5 x tanó x = (tanx + tan8 x)sec3 x (tan x + tan° x)sec3 x (| tanºx - tan²…

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Q: Evaluate tan(sin−1(34))tan(sin-1(34)), giving your answer as an exact value (no decimals)

A: Topic-trigonometry

Q: Please help me verify this identity: (sinx + cosx)^4 = (1 + 2sinx cosx)^2

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Q: arc sin(3i/4)

A: We know that, Domain of sin-1x is -1≤x≤1.

Q: Prove the identity. sec x+1 tan x tan x sec x-1 To verify the identity, start with the left side and…

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Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: Prove the identity. sin (x-y) = tan x- tan y %3D cosx cos y Note that each Statement must be based…

A: sinA-B=sinAcosB-cosAsinB

Q: Verify the identity tan θ + cot θ = sec θ csc θ.

A: We have to verify tanθ+cotθ=secθ cscθ We know that tanθ=sinθcosθ and cotθ=cosθsinθ…

Q: show that tan4 theta + tan2 theta = sec4 theta - sec2 theta

A: Given expression: tan4θ+tan2θ=sec4θ-sec2θ Taking L.H.S of the above expression tan4θ+tan2θ…

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

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Q: 3tan^3(theta) = tan(theta)

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Q: Verify the identity: tan α/2 = sec α/(sec α csc α + csc α)..

A: To Verify

Q: please help, ignore solution "-16/65" please.

A: To Determine: Exact value of the expression:

Q: expression

A: Attached below is the detailed solution. Solved using basic trigonometric properties.

Q: Determine

A: We will solve for the angles.

Q: Verify the identity. sec5 x tan6 x = (tan6x+ tan x)sec3 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: cos (tan" ») = 0 cos tan %3D

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

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

Q: Establish the identity. sec 0 3 sin 0 = 4 tan 0 csc 0 cs 0

A: To prove that secθcosecθ+3sinθcosθ=4tanθ

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: sec x Verify that = sin x %3D tan xcsc x Simplify the left side to get the right.

A: To verify the given , identity.

Q: Sin sec" 3. 2.

A: (1) We have to evaluated sinsec−1−23 Use he following identity  sinsec−1x=1−1x2

Q: What is the exact value of cos x if the point (-4,2) lies on the terminal side of n angle x when…

A: Given: -

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: If angle x is in standard position such that tan=-8/6 & Sece > 0 determine the exact value of Csce

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Q: tan x-sin x Simplify the expression using sin x fundamental identities.

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Q: Sketch the point (5,-12) on the terminal side of angle 0 in standard position. Use 0 to evaluate the…

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Q: Solve for Angle [0°, 360°): (tan x)² - tanx = 0

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Q: 4. COs 195°

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Q: 4 -1 -1 Determine the exact value of sin tan + tan 5

A: Consider the given trigonometrical expression, sintan-145+tan-175 First, change tan-145+tan-175 this…

Q: Verify the identity. sec5 x tanº x = (tanóx + tan3 x)sec3 x

A: By using basic trigonometric formulas we can easily verify the given relation.

Q: Find the exact value of the expression sec2 π/5 - tan2 π/5. Do not use a calculator.

A: Given expression:                                sec2π5-tan2π5

Q: (sinx/ 1-cosx)=cscx + cotx   verify the identity

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Q: how does csc x/ cos x is equal to sec^2 x/ tan x

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Q: If tanx=-1/3 then cosx>0 Find Sin2x,cos2x and tan2x

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Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1- cos x) secx =…

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Q: Prove the identity.   tanθ(tanθ+cotθ)=sec2 theta   name each step as you prove the identity.

A: To prove the identity.

Q: Verify the identity -1 sin'0+2cos0-1 1 2 sin 0+3cos0-3 1-sece

A: We have to prove that sin2θ+2cosθ-1sin2θ+3cosθ-3 = 11-secθ We will using the following property to…

Q: SHow that  tan4 theta + tan2 theta = sec4 theta - sec2 theta

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Q: Prove. COSO-COS (30) Sin-Sin (30) -tan (20)

A: This question can be solved using the concept of trigonometry

Q: tan 0+ sece- 1_ 1+ sin0 cos 0 Show that tan0-sec0+1

A: Given the trigonometric equation (identity) is: tanθ+secθ-1tanθ-secθ+1=1+sinθcosθ To show that, the…

Q: Prove the identity. 1+cos2x / sin2x = 2 csc2x-1

A: 1+cos2xsin2x=2csc2x-1

Q: Cos2(60°)+sec2(150°)-csc2(210°)

A: To find: