99–104 - Proving More Identities Verify the identity. 99. (sin x sin y – cos x cos y)(sin x sin y + cos x cos y) = sin'y - cosx 1+ cos x + sin x 100. 1 + cos x - sin x 1+ sin x cos x 101. (tan x + cot x)* = sec*x cscx 102. (sin a – tan a)(cos a - cot a) = (cos a - 1)(sin a – 1) sin'y – csc'y 103. sin'y + csey + 1 sin y - csc y 104. sin B + cos“B = 1 – 3 sin*ß cos?B

Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

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Q: True or false? (a) If tan(0) = 4, then sin(0) = 4 and cos(0) = 6. ---Select--- ✓ (b) sin(a²) +…

A: (a)   given  tan(θ)=46tanθ=perpendicularbase

Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: sin x(cos x-1) 8. Prove sin(n -x) – tan(t + x) | COSX

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Q: Prove the identity. tan(x -)- -cot(x) TC tan x 2 %3D sin(x - ) | tar(x-)- sin(x) cos) - cos(x) sin…

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Q: Prove the identity. COS x+ 2 = tanx C. cos (+x)

A: Some common trignometry identies are :Sinπ2+x = Cos xCosπ2-x = +Sin xCosπ2+x = -Sin xtanπ2+x = -Cot…

Q: Verify number 63 and 65 using the sum or difference identities

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Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: HW/Prove that: . (1) tanx=cot! tan"x= cot-1 (2) sin x = csc -11. (3) sin (sin x) = x

A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

Q: 2 1-tan ² x 2 1+ tan² x 2 = cos²x - sin² x

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Q: Prove the identity on a separate sheet of paper. tan 0+ sin 0 COS cos 2. 2 tan 0

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Q: Prove the following identitv Show at least 4 steps in working out. sin x-cos x sin x+cos x sec x csc…

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Q: 1+ cos x 2. 1 - cos x (csc x+ cot x)2

A: L.H.S :    1+cos x1-cos x               =(1+cos x)(1+cos x)(1-cos x)(1+cos x)               =(1+cos…

Q: 11 0<a< 61 sin a= 2 Part 1 of 3 (a) sin Part 2 of 3 a (Б) cos 2 Part 3 of 3 a (c) tan %3D

A: Calculate the valuer for angle α using the inverse of the sine function. sin…

Q: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: Find sin sin(3) coo(), and tan) from the given information. COS tan(x) = V2, 0° < x < 90° sin 2…

A: We have to solve one question as per guidelines

Q: Prore each of the following identities: (ii) (1+cot 0)sin 0 1 1 (1) (1-cos 0)cosec o=1 rie-1)cot 0 1…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: I+ cosx+ cos 2x (ii)Show that sin x+ sin 2x tan 20 - tan 0 = tan 0 sec20 cotx (iii) (iv) (cose -…

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Q: 1. 1-Cos? X= tan x cos x sin x 2. cos x tan3 x= sin x tan? x

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Q: cos 0 1-tan 0 1-cot0 sine 4. Show that = sin 0+cos 0

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Q: Prove the identity. sec¹x tan²x = (tan ²x + tan^x) sec²x

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Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

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