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(i) Which of the following is not possible. (a) sin x = \(\frac{1}{2}\)(b) cos x = \(\frac{2}{3}\)(c) cosec x = \(\frac{1}{3}\)(d) tan x = 8(ii) Find the value of sin 15°.(iii) Hence write the value of cos 75° |
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Answer» (i) (c) cosec x = \(\frac{1}{3}\) (ii) sin 15° = sin(45° – 30°) = sin45°cos30°- cos45°sin30° \(\frac{1}{\sqrt 2} \times \frac{\sqrt 3}{2} - \frac{1}{2} \times \frac{1}{2} \) = \(\frac{\sqrt 3 - 1}{2 \sqrt 2}\) (iii) sin 15° = sin(90° – 75°) = cos 75° |
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