Sin Theta Formula

The right triangle formulas are the most important ones in the trigonometry. The sin Theta is the ratio of the opposite side to the hypotenuse, If theta (Θ)

is one of the acute angles.

Sin x Formula:

It is one of the formulae of the Sin function from the six other trigonometric functions.

Sin \(\Theta\) = \(\frac{Opposite Side}{Hypotenuse}\)

Sin Theta Formula

Sin angle Questions

Example: If cos x = 4/5, Find the value of Sin x?

Solution: Using Trigonometric identities: Sin2x = 1- Cos2x

Sin2x = 1 – (4/5)2

= 1 – 16/25

= (25 – 16) / 25

= 9/25

Sin x = \(\sqrt{9/25}\)

= 3/5

Example 2: If Cosec x = 4/7, find the Sin x?

Solution: As Cosec x = 1/sin x

= 1/ 4/7

= 7/4

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Practise This Question

A uniform chain of length l is placed on the table in such a manner that its l' part is hanging over the edge of table without the chain sliding. If the coefficient of friction between the chain and the table is μ  then find the maximum length of chain l' that can hang without the entire chain slipping.