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Composition of Inverse Trigonometric Functions and Trigonometric Functions

Which one of ...

Question

Which one of the following is the value of $cos 170^{0} cos 10^{0} - sin 170^{0} sin 10^{0}$ ?

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Solution

The correct option is B $- 1$
$cos (170^{0}) cos 10^{0} - sin 170^{0} sin 10^{0}$
$= cos (170^{0} + 10^{0})$
$= cos (180^{0}) = - 1$

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