Question

Evaluate sin 90°/ cos 45° + 1/cosec 30°

Answer 1

1/(1/root 2) + 1/2
root 2+ 1/2
(2root2 + 1)/2


HOPE THIS HELPED YOU !!

Answer 2

Answer:

$Evaluation\: of \: \frac{sin90}{cos45}+\frac{1}{cosec30}$

=$\frac{2\sqrt{2}+1}{2}$

Step-by-step explanation:

$Evaluation\: of \: \frac{sin90}{cos45}+\frac{1}{cosec30}$

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We know that,

i) sin90° = 1

ii) cos45° = $\frac{1}{\sqrt{2}}$

iii) $\frac{1}{cosecA}=sinA$

iv) sin30° = $\frac{1}{2}$

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=$\frac{1}{\frac{1}{\sqrt{2}}}+sin30$

= $\sqrt{2}+\frac{1}{2}$

=$\frac{2\sqrt{2}+1}{2}$

Therefore,

$Evaluation\: of \: \frac{sin90}{cos45}+\frac{1}{cosec30}$

=$\frac{2\sqrt{2}+1}{2}$

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