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

Three particles A, B and C, each of mass m, are placed in a line with AB = BC = d. Find the gravitational force on a fourth particle P of same mass, placed at a distance d from the particle B on the perpendicular bisector of the line AC.