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MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Find the exact value of each expression without the aid of a calculator:
(i) S = sin 75 ∘ cos 30 ∘ − cos 75 ∘ sin 30 ∘ S=\sin 75^\circ\cos 30^\circ-\cos 75^\circ\sin 30^\circ S = sin 7 5 ∘ cos 3 0 ∘ − cos 7 5 ∘ sin 3 0 ∘ P = sin 75 ∘ cos 15 ∘ − cos 75 ∘ sin 15 ∘ P=\sin 75^\circ\cos 15^\circ-\cos 75^\circ\sin 15^\circ P = sin 7 5 ∘ cos 1 5 ∘ − cos 7 5 ∘ sin 1 5 ∘ T = tan 75 ∘ − tan 45 ∘ 1 + tan 75 ∘ tan 45 ∘ T=\dfrac{\tan 75^\circ-\tan 45^\circ}{1+\tan 75^\circ\tan 45^\circ} T = 1 + tan 7 5 ∘ tan 4 5 ∘ tan 7 5 ∘ − tan 4 5 ∘ Browse the problem library