Quotient Trigonometric identities

The relation of quotient of two trigonometric ratios with another trigonometrical ratio at an angle is called quotient trigonometrical identity.

Trigonometric ratios can form another trigonometric ratio by the quotient of them. Quotient trigonometric ratios are mainly used to express the ratio of trigonometric ratios into another trigonometric as the quotient of them and vice-versa.

List of Quotient identities

In trigonometry, there are six trigonometric ratios but sine and cosine can only form tangent and cotangent from their quotients.

1

Sine and Cosine with Tangent

Quotient of sine and cosine is tangent at an angle

The ratio of trigonometric functions sine to cosine at an angle in a right angled triangle is equal to another trigonometric function tangent at same angle.

Learn Proof
2

Cosine and Sine with Cotangent

Quotient of cosine and sine is cotangent at an angle

The ratio of trigonometric functions cosine to sine at an angle in a right angled triangle is equal to another trigonometric function cotangent at same angle.

Learn Proof
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