Simplify sin10∘cos80∘+cos59∘cosec31∘

sin10° cos80° +cos59°cosec31°=sin10° cos(90°−10°) +cos(90°−31°) cosec31° =sin10° sin10° +sin31°cosec31° =1+1 =2.Hence, the answer is 2.

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Simplify { 80^{}}{ 10^{}} + 59^{} cosec 31^{}

Question

Simplify $\frac{cos 8 0 ^{\circ}}{sin 1 0 ^{\circ}} + cos 5 9^{\circ} cosec 3 1^{\circ}$

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Simplify

\frac{cos 8 0 ^{\circ}}{sin 1 0 ^{\circ}} + cos 5 9^{\circ} cosec 3 1^{\circ}

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\frac{cos 80°}{sin 10°} + cos 59° cosec 31° = \frac{cos ( 90° - 10° )}{sin 10°} + cos (90° - 31°) cosec 31°

= \frac{sin 10°}{sin 10°} + sin 31° cosec 31°

= 1 + 1

= 2.

Hence, the answer is

2.

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Question Text	Simplify $\frac{cos 8 0 ^{\circ}}{sin 1 0 ^{\circ}} + cos 5 9^{\circ} cosec 3 1^{\circ}$
Answer Type	Text solution:1
Upvotes	150