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Chapter 8: Q. 22 (page 517)

Find the exact value of the expression-
$\frac{\cos 40 °}{\sin 50 °}$

Short Answer

Expert verified

The required value is,

$\frac{\cos 40 °}{\sin 50 °} = 1$

Step by step solution

01

Step 1. Given information

Given expression

$\frac{\cos 40 °}{\sin 50 °}$

02

Step 2. Calculation

Solving the given expression,

$\frac{\cos 40 °}{\sin 50 °} = \frac{\cos (90 ° - 50 °)}{\sin 50 °} = \frac{\sin 50 °}{\sin 50 °} = 1$ ----------(complementary angle, $\cos (90 ° - θ) = \sin θ$ )

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