Showing posts with label trigonometric problems. Show all posts
Showing posts with label trigonometric problems. Show all posts

Tuesday, May 5, 2009

Simple Trignometry Problem to find radians

Trigonometric equation can be solved using trigonometric identities and find the value of x/radian/degree

Topic : Trigonometric Equation

In Trigonometric functions - Sine, Cosine's value are found as explained below.

Problem : Solve Sin x = Sin 2x and find x in degrees

Solution :
Sin x = Sin 2x
we have Sin 2x = 2 Sin x Cos x
So, Sin x = 2 Sin x Cos x
Sin x - 2 Sinx Cos x = 0
Sin x (1 - 2 Cos x) = 0
Sin x = 0 or 1 - 2 Cos x = 0
x = Sin-1(0) and 1 = 2 Cos x ; Cos x = 1/2 ; x = Cos -1(1/2)
x = 00 and x = 600 =>first quadrant 3600 - 600 = 3000 => fourth quadrant
So Solution is x = 00 ; 600 ; 3000

If required values can be converted into radians.
For more help write to our trigonometric help.