Evaluate the following without using a calculator.

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

Problem

Evaluate the following without using a calculator. (i) Convert 225∘225^\circ to radian measure. (ii) Find cos⁡225∘\cos 225^\circ and sin⁡225∘\sin 225^\circ. (iii) Hence calculate tan⁡225∘\tan 225^\circ. (iv) Find cos⁡(−120∘)\cos(-120^\circ), sin⁡(−120∘)\sin(-120^\circ) and tan⁡(−120∘)\tan(-120^\circ). Provide each value in exact form.

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