An acute angle in a right-angled triangle satisfies

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

An acute angle

\theta

in a right-angled triangle satisfies

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

. Answer the following. (i) Find the values of

\cos\theta

and

\tan\theta

. (ii) Determine

\csc\theta

\sec\theta

and

\cot\theta

. (iii) Verify numerically that

1+\cot^{2}\theta=\csc^{2}\theta

for this value of

\theta

. State your conclusion.