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Ex 8.2, 2 (i) (MCQ) - Chapter 8 Class 10 Introduction to Trignometry Last updated at Aug. 16, 2023 by Teachoo Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Expansion of tan (A + B + C) Compound Angle Formulae; Problems using Compound Angle Formulae; Problems on Compound Angles; 11 and 12 Grade Math From Proof of Tangent Formula tan (α - β) to HOME PAGE
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios. The other important trig ratios, cosec, sec, and cot, can be derived using
The Double-Angle formulas express the cosine and sine of twice an angle in terms of the cosine and sine of the original angle. We are going to derive them from the addition formulas for sine and cosine. The formulae are: and. It is well worth practising the derivation so that you can do it quickly and easily. Then you will not need to remember
This is a geometric way to prove the particular tangent half-angle formula that says tan 1 2 (a + b) = (sin a + sin b) / (cos a + cos b). The formulae sin 1 2 (a + b) and cos 1 2 (a + b) are the ratios of the actual distances to the length of the diagonal. Applying the formulae derived above to the rhombus figure on the right, it is readily

Tangent 3 theta formula can be derived by using the sum angle formula used for the Tangent theta and Tangent 2 theta ratios. In order to show that tan 3θ = (3 tan θ – tan 3 θ) / (1 – 3 tan 2 θ), we can express it as: 3θ as (2θ + θ). Thus, L.H.S. = tan 3θ. = tan (2θ + θ)

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    • 2 tan a tan b formula