First slide

Trigonometric equations

Question

The solution of the equation $\cos^{103} x - \sin^{103} x = 1$ are

Moderate

A

$\frac{- π}{2}$
B

0
C

$\frac{π}{2}$
D

$π$

Solution

$\begin{array}{l} \cos^{103} x - \sin^{103} x = 1 \\ \Rightarrow \cos^{103} x = 1 + \sin^{103} x \end{array}$
$T h i s e q u a t i o n i s s a t i s f i e d b y x = - \frac{π}{2}$ , $0$

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