Question

find the value of sin 30°/cos 60°- tan 30°.tan 60°​

Answer 1

Answer:

hello mate

here is your answer

sin30°/cos60° - tan30°.tan60°

= (1/2/1/2) - (1/✓3 . ✓3)

= 1 - 1

= 0

hope it helps you

Answer 2

Answer:

$\frac{\sin30\textdegree }{\cos60\textdegree }-\tan30\textdegree \cdot \tan60\textdegree =0$

Step-by-step explanation:

Given:

we are given the expression

$\frac{\sin30\textdegree }{\cos60\textdegree }-\tan30\textdegree \cdot \tan60\textdegree$

To Find :

Value of the given expression

Solution :

Since we have to find the value of the expression

$\frac{\sin30\textdegree }{\cos60\textdegree }-\tan30\textdegree \cdot \tan60\textdegree$

We know that

$\sin30\textdegree =\frac{1}{2}$  

$\cos60\textdegree =\frac{1}{2}$

$\tan30\textdegree =\frac{1}{\sqrt3}$

$\tan 60\textdegree =\sqrt{3}$

Substituting these values in the given expression we get

$\frac{\sin30\textdegree }{\cos60\textdegree }-\tan30\textdegree \cdot \tan60\textdegree$

= $\frac{\frac{1}{2}}{\frac{1}{2}}-\frac{1}{\sqrt3}\cdot \sqrt{3}$

$= 1-1$

$=0$

Hence we have calculated that the value of the expression is 0

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