Question

solve the following
cos45°/ sec30°+cosec30°
plzz give known answers !!​

Answer 1

Answer:

Cos 45°\Sec30° + Cosec30°

1/√2/ 2/√3 + 2

√3/2√2 + 2

√3 + 4√2/2√2 . Ans.

Answer 2

[tex] \frac{ \cos {45}^{0} }{ \sec {30}^{0} + \csc {30}^{0} } \\ = \frac{ \frac{1}{ \sqrt{2} } }{ \frac{2}{ \sqrt{3} } + 2 } \\ = \frac{ \frac{1}{ \sqrt{2} } }{ \frac{2 + 2 \sqrt{3} }{ \sqrt{3} } } \\ = \frac{ \frac{1 \times \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } }{ \frac{(2 + 2 \sqrt{3}) \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } } \\ = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{2 \sqrt{3 } + 6}{3} } \\ = \frac{ \sqrt{2} }{2} \times \frac{3}{2 \sqrt{3} + 6} [\tex]