Trigonometrical Identities Introduction

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Let us recapitulate the trigonometric ratios (t-ratios). There are six t-ratios.

DABC is a right-angled triangle, ÐB = 90^o.

(i)

In short,

(ii)

In short,

(iii) tangent A

tangent A In short, tan A

Similarly three more ratios can be obtained by taking the reciprocals of sine, cosine and tangent ratios.

(iv) cosecant In short,

(v) secant In short,

(vi) cotangent In short,

From the above figure, we can obtain:

sine A means sine of angle A.

(i) sin A is not sine x A

(ii) sin A + sin B sin (A + B)

(iii) sin A + cos A (sin + cos) A