trigonometry xi summary

1. Trigonometry is that branch of mathematics which deals with the measurements of sides and angles of triangles. 2. The figure obtained by rotating a given ray about its end point is called an angle. 3. An angle is called negative if the direction of rotation of ray fro..

1. Sine of Angle = (Apposite side / Hypotenuse) 2. Cosine of Angle = (Adjacent side / Hypotenuse) 3. Tangent of Angle = (Opposite side / Adjacent side) 4. sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . 5. sin 0 o = 0, cos 0 o = 1, ..

The angle elevation and the angle of depressions are the angles which the line of sight makes with the horizontal. The angle of elevation of A as observed from C equals the angle of depression of C as observed from A..

The height 'h' of a triangle ABC with base BC = 'a' is given by the formula: when the altitude falls within the base and when the altitude falls outside the base..

Trigonometric tables are used - to find the value of a t-ratio when the angle is given - to find the angle when the value of the t-ratio is given As an angle increases, the sine ratio increases, the cosine ratio decreases and the tangent ratio increases..

sin A = cos (90 o - A) tan A . tan (90 o - A) = 1 sin 2 A + cos 2 A = 1 1 + tan 2 A = sec 2 A 1 + cot 2 A = cosec 2 ..

Trigonometric equations - sin q = 0 q = n p , n Z - tan q = 0 q = n p , n Z If a is some constant angle, then - sin q = sin a q = n p + (-1) n a , n Z - cos q = cos a q = 2n p a , n Z - tan q = tan a q = n p + a , n Z If a ..

Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (i..

Summary - Trigonometry is that branch of mathematics which deals with the measurements of sides and angles of triangles. The figure obtained by rotating a given ray about its end point is called an angle. An angle is called positive if the direction of rotation of ray from initi..

Summary - The angle elevation and the angle of depressions are the angles which the line of sight makes with the horizontal. The angle of elevation of A as observed from C equals the angle of depression of C as observed from ..