Question

Prove that (sin teta + cosec teta ) ²+ (cos teta + Sec teta)²
= 7 tan²teta +cot
² teta
​

Answer 1

$\huge \star \boxed{ \fcolorbox{blue}{purple}{ANSWER}} \star$

==> sin²teta +2sinteta cosecteta + cosec² teta +cos²teta+2costeta secteta + sec² teta

==> 1+cosec²teta + sec² teta +2+2(sin² teta + cos I teta =1)

==> 1+2+2+cot²teta +1+tan² teta [cosec² teta =

1+cot² teta , sec² teta = 1+ tan² teta ]

==> 7+cot² teta +tan² teta

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