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Grade: 12

                        

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

one month ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
1583 Points
							Dear Student

Given:
sin 67° + cos 75°
In term of sin as cos function and cos as sin function,
it can be written as follows
sin 67° = sin (90° - 23°)
cos 75° = cos (90° - 15°)
= sin (90° - 23°) + cos (90° - 15°)
Now, simplify the above equation
= cos 23° + sin 15°
Therefore,
sin 67° + cos 75° is also expressed as cos 23° + sin 15°

Thanks
one month ago
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