help on trigonometric identities

Unit Circle - The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. Let q be any real number. Begin at A(1, 0) on the unit circle and measure along the circumference of arc length |l| units. If q > 0 measure the arc in the ant..

An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..

Some of the important hyperbolic identities which can be proved very easily are: coshx + sinhx = e x cosh 2 x - sinh 2 x = 1 1 - tanh 2 x = sech 2 x. coth 2 x - 1 = csch 2 x. sinh (x±y) = sinhx coshy ± coshx sinhy. cosh (x&pl..

Solution of trigonometric equation is value of the unknown angle that satisfies the equatio..

Summary - 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 increase..

The Values of Trigonometric Functions of 90 o and 0 o are: cos90 o = 0, sin90 o = 1, tan90 o = Not defined, sec90 o = Not defined, cot90 o = 0, cosec90 o = 1, cos0 o = 1, sin0 o = 0, here cosec0 o and cot0 o are not defined, sec0 o = 1, tan0 o = ..

Trigonometric ratios of Allied Angles - The following results were proved earlier: 1) sin(- q ) = - sin q , cos(- q ) = cos q , tan(- q ) = - tan q..

Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..

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