Question

evaluate sin 45 cos 45 + cosec 30 sec 60​

Answer 1

Question :-

• evaluate sin 45 cos 45 + cosec 30 sec 60

Solution :-

We know that -

Sin 45 = $\frac{1}{ \sqrt{2} }$

Cos 45 =$\frac{1}{ \sqrt{2} }$

Cosec 30 =$2$

Sec 30 =$\frac{2}{ \sqrt{3} }$

Now put all these values in the given que.

Hence,

$\sin 45 {}^{0} \cos 45 {}^{0} + \cosec 30 {}^{0} \sec 60 {}^{0}$

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

Now solve this

$\frac {{1}}{{2}}+\frac{{4}}{{\sqrt3}} = 2. 81 \:\:\: Answer$