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.
Showing posts with label Sine Cosine. Show all posts
Showing posts with label Sine Cosine. Show all posts
Tuesday, May 5, 2009
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