11. 0/1 points | Previous Answers LarPCalc10 5.5.026 My Notes Ask Your Tea Rewri

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11. 0/1 points | Previous Answers LarPCalc10 5.5.026 My Notes Ask Your Tea Rewrite 2 tan 3x in terms of tan x Need Help?Read It 12. My Notes Ask Your Te 0/1 points | Previous Answers LarPCalc10 5.5.033 Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles sin2(4x) cos (4x) Need Help? Read It 13. 0/1 points | Previous Answers LarPCalc10 5.5.055 My Notes c Use the sum-to-product formulas to rewrite the sum or difference as a product. cos 8x cos 4x Need Help?Resd it Submit Answer Save Progress Practice Another Version

Explanation / Answer

tan(A +B) = tanA + tanB/(1- tanA*tanB) .........................(1)

well u can use dis formula

let A=2x B=x

Put A = B = x in (1)

We get tan(2x) = 2*tan(x)/(1-tan^2 (x)) ...........................(2)

Now put A = 2x, B=x in (1) ,using relation (2).

We get tan(3x) = [2tan(x)/(1-tan^2(x)) + tan(x)]/[ 1 - {2tan^2(x)}/{1- tan^2(x)}]

tan(3x) = [3 tan(x) - tan^3(x)]/[1 - 3 * tan^2(x)]

now,

2tan(3x) = 2[3 tan(x) - tan^3(x)]/[1 - 3 * tan^2(x)]

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