*Periodic functions A function is said to be periodic if it repeats itself after a fixed period. For a periodic function f (x) there exists a positive number ‘p’ such that f (x + p) = f (x) for all x. The smallest such value of ‘p’ is called period. Periodicity of tan θ & […]
*Finding values of θ > 900
*Property of supplementary angles. If α + β = 1800, then: sinα= sinβ,cosα = -cosβ & tanα= – tanβ
*Property of complementary angles. If α + β = 900, then: sinα = cosβ, cos α = secβ & tanα = cotβ
*The three sides and three angles are called its six elements. The angles are represented by the capitals letters A, B and C and the sides are represented by small letters a, b and c. Following results are useful to solve a triangle.
*Even & odd functions A function f (x) is called even, if f (- x) = + f (+x). called, odd, if f (- x) = – f (+x). otherwise called neither even nor odd. cos and sec are even and remaining tan, cot, csc & sin are odd, thus cos(- x) = + cos […]
*Transformation formulae sinA + sinB = 2sinC cosD sinA – sinB = 2cosC sinD cosA + cosB = 2cosC cosD cosA – cosB = – 2sinC sinD
*Semi angle formulae
*Expansion formulae sin (A ± B) = sin A cos B ± cos A sin B cos (A ± B) = cos A cos B ± sin A sin B
>Trigonometric series
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