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Evaluate cos 48° − sin 42°

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Question

Evaluate cos 48° − sin 42°

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Solution

We have to find cos 48° − sin 42°

Since `cos (90^@ - theta) = sin theta` So

`cos 48^@ - sin 42^@  = cos (90^@ - 42^@) - sin 42^@`

`= sin 42^@ - sin 42^@`

= 0

So value of `cos 48^@ - sin 42^@` is 0

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Chapter 10: Trigonometric Ratios - Exercise 10.3 [Page 53]

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R.D. Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 2.02 | Page 53
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