Question

Find the values of other trigonometric function $(\sin ,\cos ,\tan )$ in each of the following problems
i) $\sin \theta =3/5:\theta$ in $I^{st}$ quadrant
ii) $\cos \theta =-1/2:\theta$in $I{I}^{st}$ quadrant
iii) $\sin \theta =3/4:\theta$ in $II{I}^{st}$ quadrant$

Answer 1

$\left(1\right)$

$\sin \theta =\frac{3}{5}$ $\theta =1^{st}$ quadrant

$\cos =\frac{4}{5},\tan \theta =\frac{3}{4}$

$\left(2\right)$

$\cos \theta =-\frac{1}{2}$ $\theta =I{I}^{nd}$ quadrant

$\sin \theta =\frac{\sqrt{3}}{2}\tan \theta =-\sqrt{3}$

$\left(3\right)$

$\sin \theta =\frac{3}{4}$ $\theta =II{I}^{rd}$ quadrant

$\cos \theta =\frac{\sqrt{5}}{4}\tan \theta =\frac{3}{\sqrt{5}}$