Question

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

Answer 1

Given: The term x tan 45° sin 30° = cos 30° tan 30°

To find: The value of x ?

Solution:

• Now we have given the term :

                x tan 45° sin 30° = cos 30° tan 30°

• Putting the standard values in it, we get:

                x × (1) × (1/2) = (√3/2) × (1/√3)

                x = √3 x 1 x 2 / 2 x √3

                x = 1

Answer:

               So the value of x is 1.

Answer 2

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to 1

Given :

x tan 45° sin 30° = cos 30° tan 30°

To find :

The value of x is

(a) √3

(b) 1/2

(c) 1/√2

(d) 1

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

x tan 45° sin 30° = cos 30° tan 30°

Step 2 of 2 :

Find the value of x

x tan 45° sin 30° = cos 30° tan 30°

$\displaystyle \sf{ \implies x.1. \frac{1}{2} = \frac{ \sqrt{3} }{2}. \frac{1}{ \sqrt{3} } }$

$\displaystyle \sf{ \implies \frac{x}{2} = \frac{1 }{2}}$

$\displaystyle \sf{ \implies x = 1}$

The value of x = 1

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