Question

If $\theta$ is an acute angle and $sin\theta =\cos \theta$ find $3tan\theta$

Answer 1

$\theta$ is an acute angle

$\Rightarrow \theta <{90}^{\circ }$

And $\sin \theta =\cos \theta$ if $\theta ={45}^{\circ }$

$3\tan \theta$

$=3\tan {45}^{\circ }$

$=3\cdot 1$

$=3$