How does cos^2x become 1-sin
In trignometric functions
The cos,sin and tan are defined by ratios of base,altitude and hypotenuse in a right angled triangle
Let us say a=altitude
by pythgorean theorem
also we know cos is defined as ratio of base/hypotenuse so b/h
sin is defined as altitude/hypotenuse=a/h
DIVIDING EXPRESSION (1) BY h^2 on both sides
(a/h)^2 +(b/h)^2=1 substituting a/h as sin and b/h as cos
From this relation we get cos^2x=1-sin^2x
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