Question

Tan theata + cot theata=4
find the value of tan⁴+cot⁴=

Answer 1

Answer:

tan theta +cot theta = 4

(tan theta +cot theta)2=(4)2

tan2theta +cot2 theta +2tan theta +cot theta=16

tan2theta + cot2 theta= 14

(tan2 theta + cot2theta)2=(14)2

(tan4theta+cot4theta + 2tan2 theta .cot2 theta =196

tan4 theta + cot 4 theta = 194

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