First slide

Compound angles

Question

$I f 0 < θ < \frac{π}{2}, \tan θ = \frac{\cos 29 ° + \sin 29 °}{\cos 29 ° - \sin 29 °}, t h e n θ =$

Easy

A

$16 °$
B

$74 °$
C

$37 °$
D

$8 °$

Solution

$W e h a v e \tan θ = \frac{\cos 29^{\circ} + \sin 29^{\circ}}{\cos 29^{\circ} - \sin 29^{\circ}} = \frac{1 + \tan 29^{\circ}}{1 - \tan 29^{\circ}} = \tan (45 ° + 29 °) = \tan 74 °$

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