Question

find the value of tan 45°/sin 30° + cos 60°

Answer 1

The value of $\frac{tan(45^{0})}{sin(30^{0}) + cos(60^{0})}$ is 1.

Step-by-step explanation:

We the value of $tan(45^{0}) = 1, \ sin(30^{0}) = \frac{1}{2}, \ cos(60^{0}) = \frac{1}{2}$

$\frac{tan(45^{0})}{sin(30^{0}) + cos(60^{0})}\\\\= \frac{1}{\frac{1}{2} + \frac{1}{2}}\\\\= \frac{1}{1}\\\\= 1$

Hence, the value of $\frac{tan(45^{0})}{sin(30^{0}) + cos(60^{0})}$ is 1.

Answer 2

Given:

(i) The expression is  (tan 45°/sin 30°) + cos 60°

To find:

(i) The value of this expression

Solution:

Given, the expession is :

(tan 45°/sin 30°) + cos 60°   ...(1)

We know that,

tan 45° = 1, and,

sin 30° = 1/2 and,

cos 60° = sin 30° = 1/2.

Replacing these values in expression (1), we get,

$\frac{1}{\frac{1}{2} } + \frac{1}{2}\\ = 2 + \frac{1}{2}\\= 5/2$

So, the solution of this expression is 5/2.