Question

evalute the following cos 45 degree / sec 30 degree +cosec 30 degree​

Answer 1

Answer:

Cos45 degree /sec 30 degree +cosec 30 degree

Answer 2

Q) $\frac{cos45}{sec30-cosec30}$

Step by step explanation :-

Using trigonometric table, we know that :-

• cos45 = $\frac{1}{\sqrt{2}}$
• sec30 = $\frac{2}{\sqrt{3}}$
• cosec30 = $2$

Substituting the values in que :-

→ $\frac{\frac{1}{\sqrt{2}}}{\frac{2}{\sqrt{3}}+2}$

→ $\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{2+2\sqrt{3} }$

→ $\frac{\sqrt{3} }{\sqrt{2}*2(\sqrt{3}+1)}*\frac{(\sqrt{3}-1) }{(\sqrt{3}-1) }$

→ $\frac{\sqrt{3}(\sqrt{3} -1) }{4\sqrt{2} }  *\frac{\sqrt{2} }{\sqrt{2} }$

→ $\frac{3\sqrt{2}-\sqrt{6}  }{8}$