For an acute angle it is given that

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

For an acute angle

\theta

it is given that

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

. Answer the following. (i) Find the exact value of

\cos\theta

. (ii) Calculate the value of

\dfrac{1-\cos^{2}\theta}{\sin^{2}\theta}

. (iii) Using your results from parts (i) and (ii), show that the expression in part (ii) simplifies to 1.