Question

tan 45 X sin 60 upon cos 45 X tan 60

​

Answer 1

Answer:

it is

Step-by-step explanation:

1 × root 3 / 2 ÷ 1 / root 2 × root 3

= root 3 / 2 ÷ root 3/ root 2

= root 3 / 2 × root 2 / root 3

= root 2 / 2

by rationalising

= root 2..

Answer 2

Given:

Consider the given expression is

$\frac{tan45.sin60}{cos45.tan60}$

Find:

The value of the expression

Solution:

we have

tan 45 = 1

sin 60 = $\frac{\sqrt3}{2}$

cos 45 = $\frac{1}{\sqrt2}$

tan 60 = $\sqrt{3}$

Substitute all the values into given expression then we have

$\frac{1.\frac{\sqrt3}{2} }{\frac{1}{\sqrt2}.\sqrt3 }$

=$\frac{\sqrt{3}}{2}.\frac{\sqrt{2}}{\sqrt{3}}=\frac{1}{\sqrt{2}}$