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Question -

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



Answer -

Given:

sin 67° + cos 75°

In term of sin as cos function and cos as sinfunction, 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 expressedas cos 23° + sin 15°

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