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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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