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Question: The value of \(\tan( - 945{^\circ})\) is....

The value of tan⁡(−945∘)\tan( - 945{^\circ}) is.

A

– 1

B

– 2

C

– 3

D

– 4

Answer

– 1

Explanation

Solution

tan⁡(−945∘)=tan⁡[−(945∘)]\tan( - 945{^\circ}) = \tan\lbrack - (945{^\circ})\rbrack

=−tan⁡[(2×360∘+225∘)]= - \tan\lbrack(2 \times 360{^\circ} + 225{^\circ})\rbrack

=−tan⁡[225∘]=−tan⁡45∘=−1= - \tan\lbrack 225{^\circ}\rbrack = - \tan 45{^\circ} = - 1.