H.W 1: Prove cos 4x = 1-8 sin² x . cos' x H.W 2: Prove that: sin 2x cos 2x sin x cos x sec x sin ( a -) =- cos a H.W 3: tan x+tan y Prove that tan (x+y) = 1-tan x.tan y

Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

A:

Q: sin(x-y) sin(x+y) tan x-tan y tan x+tan y ||

A: The given statement is: sin(x-y)sin(x+y)=tan x-tan ytan x+tan y

Q: -1 (d) sin(sin¬! 0.8) (e) tan-'(tan ) (f) sin¬'(sin 2)

A: Part (d),Given,Sin(sin-10.8)

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

A:

Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

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Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

A: Trigonometric ratios

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: r = 2 cos(4 e) r= 1+1 sin(0) r = 3 cos(2 0) r = 1+ 4 sin(e) r = 3 sin(3 0) r = 3 - 2sin(0) %3!

A: To match the given figures with the given equations.

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: Since sin O O tan 1/12 = 1-cos 8 1+cos 0 1 Cos 0 2 " as tan 1-cos 0 tan/2 = √ 1+cos 0 COS /= ± √ ||…

A: Given :sinθ2=±1-cosθ2cosθ2=±1+cosθ2

Q: 1+tanx b) 1-tanx = tan (x + ²)

A: