Question

If tan theta+cot theta=3
Then what is tan^3 theta+cot^3 theta
Plssss!!!Need the answer immediately.

Answer 1

Ello user

(tan theta+cot theta)^3 = tan^3 theta+cot^3 theta + 3 tan theta*cot theta( tan theta+cot theta)

ATQ, we have

27 = tan^3 theta+cot^3 theta + 3(3)

so, tan^3 theta+cot^3 theta = 18

Hope this helps

Answer 2

Answer:

Tantheta+cottheta=3

Let theta =x

tanx+cotx=3

Cubing on both sides

(tanx+cotx) ³=(3)³

tan³x+cot³x+3(tanx+cotx)(tanxcotx)=27

tan³x+cot³x+3(3)(1)=27. Cotx=1/tanx

tan³x+cot³x=18