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

Asked by Abhisek | 1 year ago |  68

##### Solution :-

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°)

So, sin 67° + cos 75°

= 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°

Answered by Pragya Singh | 1 year ago

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