Math  /  Trigonometry

QuestionFind the values of: (a) sinπ3\sin \frac{\pi}{3}, (b) cos2π3\cos \frac{2 \pi}{3}, and tan7π4\tan \frac{7 \pi}{4} in surd form.

Studdy Solution
(c) We need to find the value of tan7π4\tan \frac{7 \pi}{4}.
This is a standard value in trigonometry. The tangent of 7π4\frac{7\pi}{4} is 11.
So, tan7π4=1\tan \frac{7 \pi}{4} =1.
The values of the trigonometric functions are(a) sinπ3=32\sin \frac{\pi}{3} = \frac{\sqrt{3}}{2} (b) cos2π3=12\cos \frac{2 \pi}{3} = -\frac{1}{2} (c) tan7π4=1\tan \frac{7 \pi}{4} =1

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