Math, asked by mail2drsarita, 8 months ago

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Q1. sin50°/cos40°+cosec40°/ sec50°-4cos50°cosec40°
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Answered by XEVILX
6

Hey Pretty Stranger!

sin 50°/cos40° + cosec40°/sec 50 - 4cos50° × cosec40°

→ sin 50/ cos 40 + cos 50/ sin 40  - 4 cos 50 /sin 40

  ∵ cosec A= 1/sin A and sec A= 1/cos A

→ cos(90-50)/cos 40+ sin(90-50)/sin 40 - 4 sin(90-50)/sin 40

cos A= sin (90-A) and sin A= cos (90-A)

→ cos 40/cos 40 + sin 40/sin 40 - 4 sin 40/sin 40

→ 1 + 1 - 4 × 1

→ 1 + 1 - 4

→ 2 - 4

- 2

\therefore sin 50°/cos40° + cosec40°/sec 50 - 4cos50° × cosec40° = -2

Answered by nttraders2014
0

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