Math, asked by bhanushaliharshal16, 7 months ago

show that tan^2Q+cot^2Q = cosec^2 sec^2Q-2​

Answers

Answered by rohitrs0908
1

Answer:

Step-by-step explanation:

tan²Q+cot²Q = cosec²Qsec²Q -2​

tan²Q+cot²Q + 2 = cosec²Qsec²Q

tan²Q+cot²Q + 2tanQcotQ = cosec²Qsec²Q          (tanQcotQ = 1)

(tanQ+cotQ)² = cosec²Qsec²Q

(sinQ/cosQ + cosQ/sinQ)² =  cosec²Qsec²Q

((sin²Q + cos²Q) / cosQ sinQ)² = cosec²Qsec²Q

(1/cosQsinQ)² =  cosec²Qsec²Q

(cosecQsecQ)² =  cosec²Qsec²Q

cosec²Qsec²Q =  cosec²Qsec²Q

Answered by sreyashiganguli09
1

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