Without using a calculator, express each of the following in exact form. $\sin 105^\circ$ \(\tan 1

Question

Without using a calculator, express each of the following in exact form. $\sin 105^\circ$ $\tan 15^\circ$ $\sec 285^\circ$ $\cos 75^\circ$ $\cot 195^\circ$ $\operatorname{cosec} 165^\circ$

Accepted Answer

(i) (sqrt6+sqrt2)/4; (ii) (sqrt6-sqrt2)/4; (iii) 2-sqrt3; (iv) 2+sqrt3; (v) sqrt6+sqrt2; (vi) sqrt6+sqrt2

Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

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