# How do you evaluate #arcsin(sqrt 3/2)#?

##### 3 Answers

#### Explanation:

Because arcsin is a function

So

Make a right triangle with one side = sqrt 3 and the hypotenuse = 2 and use Pythagoras to find the other leg = 1

#### Explanation:

If you know that the sin 30 deg = 1/2 .............

Make a right triangle with one side = sqrt 3 and the hypotenuse = 2 and use Pythagoras to find the other leg = 1

That makes the sign of the complementary angle = 1/2 which implies the angle = 30 deg,

the angle in question = 90 - 30 = 60 degrees or

OR

Just calculate (sqrt 3) / 2 and find the arcsin with a calculator

#### Explanation:

Trig Table gives as solution:

The unit circle gives another x that has the same sin value (sqrt3/2)

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