Question

sin 15 sec 75 how to solve

Answer 1

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Answer 2

Answer:

The solution of sin 15° sec 75° is equal to 1

Step-by-step explanation:

Solve : sin 15° sec 75°

Solution :

$\sec\theta=\frac{1}{\cos\theta}\\\\\implies\sec 75=\frac{1}{\cos 75}$

$\sin 15\cdot \sec 75\\\\\implies \sin 15\cdot \frac{1}{\cos 75}\\\\\implies \sin 15\times \frac{1}{\cos(90-15)}\\\\\implies \sin 15\times \frac{1}{\sin 15}\\\\\implies 1$

Therefore, The solution of sin 15° sec 75° is equal to 1