Question

Evaluate cos 80°/ sin 10° + cos 59°× cosec 31° =______​

Answer 1

Answer:

0.9669824858

Step-by-step explanation:

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Answer 2

$Value \: of \: \frac{cos 80\degree}{Sin 10\degree} + cos 59 \degree \times Cosec 31 \degree$

$= \frac{cos 80\degree}{Sin(90- 80)\degree} + cos 59 \degree \times Cosec (90-59) \degree$

$= \frac{cos 80\degree}{cos 80\degree} + cos 59 \degree \times sec 59\degree$

$= 1 + cos 59 \times \frac{1}{cos 59}$

$= 1 + 1$

$= 2$

Therefore.,

$\red{Value \: of \: \frac{cos 80\degree}{Sin 10\degree} + cos 59 \degree \times Cosec 31 \degree }\green{ = 2 }$

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