Question

What is the value of sin60 degree

Answer 1

Explanation:

Value of Sin 60 Degree

In a right-angled triangle, the sine of angle α is a ratio of the length of the opposite side(perpendicular) to the length of the hypotenuse side.

sin 60 degrees

Sin α= Opposite Side/Hypotenuse

=Perpendicular Side/Hypotenuse Side

= a/h

So, the ratio sin 60 degrees function will be, sin 60 = Perpendicular/Hypotenuse

There is a simple method by means of which we can calculate the value of sine ratios for all the degrees. If you learn this method, you can easily calculate the values for all other trigonometry ratios. So, let’s start with calculating the values for sin 0°, sin 30°, sin 45°, sin 60°, sin 90°.

Sin 0° = 0/4−−−√ = 0

Sin 30° = 1/4−−−√ = ½

Sin 45° = 2/4−−−√ = 1/√2

Sin 60° = 3/4−−−√ = √3/2

Sin 90° = 4/4−−−√ = 1

From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios.

Therefore, the exact value of sin 60 degrees is √3/2

Answer 2

Answer:

$\sqrt{3 \div 2}$