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Express: sin58° + cos82° in terms of Trigonometric ratios of angles between 0° and 45°.
Question

Express: sin58° + cos82° in terms of Trigonometric ratios of angles between 0° and 45°.

A.

cos32° + cos8°

B.

cos32° + sin8°

C.

sin32° + cos8°

D.

sin32° + sin8°

Correct option is B

Given:

sin 58º + cos 82º

Formula used:

cos(90 - xº) = sin xº

sin(90 - xº) = cos x°

Solution:

=> sin 58° + cos 82°

=> sin (90 - 58°) + cos (90 - 82°)

As all comes in first quadrant so 

sin will change to cos

And cos will change to sin and all will remain positive

Thus, 

=> cos 32° + sin 8°

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