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What is Trigonometric Ratios ?
Trigonometry, a branch of mathematics, is based on the ratios known as sine, cosine, and tangent. Trigonometric ratios apply only to right triangles. If A is one of the acute angles in a right triangle, then
note: Sine is abbreviated sin. Cosine is abbreviated cos. Tangent is abbreviated tan.
Example 1: Calculate sin A, cos A, and tan A in the right triangle below:
Example 2: Calculate sin B, cos B, and tan B in the right triangle above.
sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3
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