Here are the descriptions for double trigonometry ratios and triple trigonometry ratios in inverse trigonometry:
Double Trigonometry Ratios:
1. sin(2x) = 2sin(x)cos(x)
The sine of twice an angle is equal to twice the product of the sine and cosine of the angle.
1. cos(2x) = 2cos^2(x) - 1
The cosine of twice an angle is equal to twice the square of the cosine of the angle minus one.
1. tan(2x) = 2tan(x) / (1 - tan^2(x))
The tangent of twice an angle is equal to twice the tangent of the angle divided by one minus the square of the tangent of the angle.
Triple Trigonometry Ratios:
1. sin(3x) = 3sin(x) - 4sin^3(x)
The sine of three times an angle is equal to three times the sine of the angle minus four times the cube of the sine of the angle.
1. cos(3x) = 4cos^3(x) - 3cos(x)
The cosine of three times an angle is equal to four times the cube of the cosine of the angle minus three times the cosine of the angle.
1. tan(3x) = (3tan(x) - tan^3(x)) / (1 - 3tan^2(x))
The tangent of three times an angle is equal to the expression (3tan(x) - tan^3(x)) divided by (1 - 3tan^2(x)).
These ratios are used in inverse trigonometry to solve equations and simplify expressions involving trigonometric functions.
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