The value of is and lies in the first quadrant

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

The value of

\tan \theta

\dfrac{3}{5}

and

\theta

lies in the first quadrant. (i) Find

\sin \theta

and

\cos \theta

. (ii) Hence calculate

\sin 2\theta

and

\cos 2\theta

. (iii) Using your answer to part (ii), determine

\sin^2\theta

in exact fractional form.