Question

If √3 sin theta=cos theta, then find sec theta.


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Answer 1

Solution

$\sqrt{3} \sin(a) = \cos(a) \\ = > \tan(a) = \frac{1}{ \sqrt{3} } \\ = > \tan(a) = \tan(30) \\ = > a = 30 \\ = > \sec(a) = \sec(30) = \frac{2}{ \sqrt{3} }$

Answer 2

SOLUTION:-

✓3 sin∅ = cos ∅

=> ✓3 = cos∅/sin∅

=> ✓3 = cot∅

=> cot30° = cot∅

=> 30° = ∅

Now,

sec∅

= sec30°

= 2/✓3

Hope it will help you ⤴️