Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45° - Mathematics

Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°

Solution

∵ 23 = 90 – 67 & 15 = 90 – 75

∴ sin 67° + cos 75°

= sin (90 – 23)° + cos (90 – 15)°

= cos 23° + sin 15°.

Concept: Trigonometric Ratios of Complementary Angles
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.3 | Q 7 | Page 190