Mathematics

Problem

a. If

\sin \theta = \dfrac{7}{25}

and

\theta

is in the first quadrant, find

\cos \theta,\; \tan \theta,\; \sec \theta,\; \csc \theta

and

\cot \theta

. Then write each value correct to three decimal places. b. Using the values obtained in part (a), verify that

\tan^{2}\theta + 1 = \sec^{2}\theta