Trigonometric Ratios Optional Math Formula

Tan a b tan a tan b 1 tan a tan b tan a b tan a tan b 1 tan a tan b.

Trigonometric ratios optional math formula. Sin a b sina cosb cosa sinb. For multiplication trigonometric ratios will also follow the laws of indices. Trigonometry formulas for class 11 play a crucial role in solving any problem related to this chapter. Also check trigonometry for class 11 where students can learn notes as per the cbse syllabus and prepare for the exam.

Trigonometric ratios of 3a in terms of a a sin3a sin 2a a sin2a. The value of hypotenuse and adjacent side here is equal to the radius of the unit circle. In trigonometry different types of problems can be solved using trigonometry formulas. 2a a a.

Sin a b sina cosb cosa sinb. 2sinθ 4sinθ 6sinθ. Trigonometric ratios of compound angles. Sina 2 sina 1 sin 2 a sina 2sin 3 a 2sina.

We will also learn some funny mnemonics to memorize it. 4x 2 7x 2 11x 2. They stand for sine cosine tangent cosecant secant and cotangent respectively. Here is the list of formulas for class 11 students as per the ncert curriculum.

Cosa 1 2sin 2 a. We can subtract the trigonometric ratios as we subtract in algebra. Some formulas including the sign of ratios in different quadrants involving co function identities shifting angles sum difference identities double angle identities. Sina 2cos 2 a 1 cosa 2sina.

Cotb 1 cotb cota. List of class 11 trigonometry formulas. Tanb tan a b frac tana tanb 1 tana tanb cot a b frac cota. Trigonometric ratios for unit circle similarly for a unit circle for which radius is equal to 1 and θ is the angle.

Sum and difference of two angles. Cos a b cosa cosb sina sinb. Sin a b sin a cos b cos a sin b. Cos a b cos a cos b sin a sin b.

Hypotenuse adjacent side to θ 1. 2tanθ tanθ tanθ. Let s review laws of indicesonce. Sec2θ secθ sec2θ secθ.

Cosecθ cotθ cosecθ cotθ. The six trigonometric ratios of a right angle triangle are sin cos tan cosec sec and cot. These problems may include trigonometric ratios sin cos tan sec cosec and tan pythagorean identities product identities etc. Cos a b cos a cos b sin a sin b.

2a 4a 6a. Cos a b cosa cosb sina sinb. Trigonometric formulas begin aligned sin alpha frac opposite hypotenuse cos alpha frac adjacent hypotenuse tan alpha frac opposite adjacent cot alpha frac adjacent opposite sec alpha frac hypotenuse adjacent csc alpha frac hypotenuse opposite end aligned. In the following section we will learn the formulas for these trigonometric ratios.

As we know that the trigonometric ratios are numbers like fraction decimal or whole numbers. Sina 2 sina. 2sin 3 a sina 2 sin 3 a 3 sina 4 sin 3 a b cos3a cos 2a a cos2a. Tan a b frac tan a tan b 1 tana.

We can operate the operations of addition subtraction multiplication and division on them that we do in algebra.