Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

How do you write trigonometric equations?

The trigonometric equation of a given graph for sin and cos function is in the form of:

Y = A sin Bx + C

A is equal to the difference between the highest value and lowest value divided by 2

B is the length of one period equal to 2π/period

C is the point on y-axis from where the graph starts

For example, we have a sine function graph that starts from 2 at y-axis and goes high upto 6. The time period of the wave is 8π, then,

A = 6-(-2)/2 = 8/2 = 4

B = 2π/8π = ¼

C = 2

Therefore, the trigonometric equation becomes:

Y = 4 sin (x/4) + 2

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