Question : What is the value of $\text{cosec}15°\sec 15°?$
Option 1: 0.5
Option 2: 4
Option 3: 2
Option 4: 1
Answer (1)
8th Jan, 2024
Correct Answer: 4
Solution :
$\text{cosec}15°\sec 15°$
$=\frac{1}{\sin 15°}\frac{1}{\cos 15°}$
Multiplying and dividing by 2, we get
⇒ $\frac{2}{2\sin 15° \cos 15°}$
$= \frac{2}{\sin30°}$
$= \frac{2}{\frac{1}{2}}$
$= 2\times 2 = 4$
Hence, the correct answer is 4.
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