First slide

Trigonometric equations

Question

If $\sin A = \sin B$ and $\cos A = \cos$ $B; A â B,$ then

Moderate

A

$\tan â¡ \frac{A â B}{2} = 0$
B

$\cos â¡ (A + B) = 1$
C

$\tan â¡ \frac{A + B}{2} = 0$
D

$\sin â¡ (A â B) = 1 / 2$

Solution

$\begin{array}{l} \sin â¡ A = \sin â¡ B and \cos â¡ A = \cos â¡ B \\ â A = 2 n Ï + B where n is an integer, n â 0 \\ â \frac{A â B}{2} = n Ï â \tan â¡ \frac{A â B}{2} = 0 \end{array}$

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