Evaluate- cos58 - sin32 - - sin22 - cos68 -

cos 58sin 32+sin 22cos 68 cos 90 32sin 32+sin 22cos 90 22 sin 32sin 32+sin 22sin 22=1+1=2 ...

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Standard X

Mathematics

Trigonometric Identities

Evaluate: c...

Question

Evaluate:
$\frac{{c o s 58}^{\circ}}{{s i n 32}^{\circ}} + \frac{{s i n 22}^{\circ}}{{c o s 68}^{\circ}}$ .

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Solution

$\frac{cos 58}{sin 32} + \frac{sin 22}{cos 68} \frac{cos 90 - 32}{sin 32} + \frac{sin 22}{cos 90 - 22} \frac{sin 32}{sin 32} + \frac{sin 22}{sin 22} = 1 + 1 = 2$

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Evaluate: cos58∘sin32∘+sin22∘cos68∘.

cos58sin32+sin22cos68cos90−32sin32+sin22cos90−22sin32sin32+sin22sin22=1+1=2

Evaluate:
$\frac{{c o s 58}^{\circ}}{{s i n 32}^{\circ}} + \frac{{s i n 22}^{\circ}}{{c o s 68}^{\circ}}$ .

$\frac{cos 58}{sin 32} + \frac{sin 22}{cos 68} \frac{cos 90 - 32}{sin 32} + \frac{sin 22}{cos 90 - 22} \frac{sin 32}{sin 32} + \frac{sin 22}{sin 22} = 1 + 1 = 2$