tan 47°/cot 43° = 1. Write ‘True’ or ‘False’ and justify your answer

Solution:

Given, tan 47°/cot 43°= 1

We have to determine if the above relation is true or not.

By using trigonometric ratio of complementary angles,

tan (90° - A) = cot A

tan 47° = tan(90° - 43°)

= cot 43°

So, tan 47°/cot 43° = cot 43°/cot 43°

= 1

Therefore, tan 47°/cot 43° = 1

✦ Try This: sin 63°/cos 27° = 1

Given, sin 63°/cos 27° = 1

We have to determine if the above relation is true or not.

By using trigonometric ratio of complementary angles,

cos (90° - A) = sin A

cos 27° = cos(90° - 63°) = sin 63°

So, sin 63°/cos 27° = sin 63°/sin 63°

= 1

Therefore, sin 63°/cos 27° = 1

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 8

NCERT Exemplar Class 10 Maths Exercise 8.2 Problem 1

tan 47°/cot 43° = 1. Write ‘True’ or ‘False’ and justify your answer

Summary:

Tan is defined as the ratio of opposite side by adjacent whereas cot is the ratio of adjacent side by opposite.The statement “tan 47°/cot 43°= 1” is true

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