XII D. Prove the following identities. 4. cos3a = 4 cos' a- 3cosa tan x+cotx 9. cotx-tan x = sec 2x

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

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Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

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Q: Type your final table for y- tan(2z) below. y

A: Table values in terms of π can be obtained as, Substitute π for x in the equation y=12tan2x.…

Q: 1+ cot2(T) simplifying the expression will result to... 1 + tan2(T)

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Q: sec a sec B tan B The expression tan a (wherever defined) can take the value- (A) 4 (B) 6 (C) S (D)…

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Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: To express: J4x  in terms of J0x and J1x Bessel's function: Jnx=∑r=0∞-1rx2n+2r1Γn+r+1 r! Series…

Q: Is cos (A+b)=cos A + cos(b)? Explain

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Q: cotx -1 cos 2x = cot x+ 1

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Q: 1-tan?x 1+tan?x sin2x O cos2x tan2x O ||

A: Explanation of the answer is as follows

Q: Ptz 1. sin x secx = tanx 2. cos² x-sin2x-1-2 sin²x Pt₂

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Q: 2. Prove the identity 2 cos²x 1-cos²x 2 tan² x

A: We will use the following identities,  and  We are asked to prove,

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: Choose 2 of the 3 identities below to verify. Be sure to show every step. 2(tanx - cotx) a. tan?x-…

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Q: tan(C + A)tan(C – A)tan(B+ D) = tan(D – B)

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