Question

If 0 < x < 90° and 2 Sin²x = 1/2
then find x.​

Answer 1

Answer:

the answer is 30°

according to given situation the angle is in 1st quadrant

2 sin2x =1/2

sin2x =1/4

sinX = 1/2

so x = 30°

Answer 2

The value of x is 30°

Step-by-step explanation:

Given : If 0 < x < 90° and $2 Sin^2x = \frac{1}{2}$

To find : The value of x ?

Solution :

We solve the given expression,

$2 Sin^2x = \frac{1}{2}$

Divide by 2 both side,

$Sin^2x = \frac{1}{4}$

Taking square root both side,

$Sin x = \frac{1}{2}$

We know that,

$Sin x =\sin 30$ as 0 < x < 90°

$x =30$

Therefore, the value of x is 30°.

#Learn more

Find the general solution of

1)sin x/2=-1

2)sin x=-1

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