Question

The value of each of the trigonometric ratios of an angle depends on the size of the triangle and does not depend on the angle.

(a) True

(b) False

This question was addressed to me during an online interview.

I need to ask this question from Trigonometric Ratios in division Trigonometry of Mathematics – Class 10

Answer 1

Right option is (b) False

Explanation: Consider, two triangles ABC and DEF

In ∆ABC,

sin B = \(\frac {AC}{AB} = \frac {10}{20} = \frac {1}{2}\) i.e. B = 30°

Now, in ∆DEF,

sin F = \(\frac {DE}{DF} = \frac {20}{40} = \frac {1}{2}\)  i.e. F = 30°

From these examples it is evident that the value of the trigonometric ratios depends on their angle and not on their lengths.