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.
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