Let be an angle such that and lies in the second quadrant

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let

\theta

be an angle such that

\sin\theta=\dfrac{3}{5}

and

\theta

lies in the second quadrant. Answer the following. (i) Determine

\cos\theta

. (ii) Calculate

\tan\theta,\;\sec\theta

and

\cot\theta

. (iii) Verify that the values obtained in parts (i) and (ii) satisfy the fundamental Pythagorean relationship for the trigonometric functions of

\theta