Consider the two trigonometric values and

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

Problem

Consider the two trigonometric values

A=\sin75^{\circ}

and

B=\cos15^{\circ}

. (a) Express each of

A

and

B

in terms of

\sin45^{\circ}

\cos45^{\circ}

\sin30^{\circ}

and

\cos30^{\circ}

only, showing every step of your working. (b) Hence evaluate

A

and

B

exactly and determine which of the two is greater.