math identities

Double Angle Formula: sin(2x)

The expression equal to 2 sin(x) cos(x).

Double Angle Formula: cos(2x)

The expression that can be represented as cos²(x) - sin²(x).

Double Angle Formula: cos(2x)

The expression that can also be simplified to 2 cos²(x) - 1.

Double Angle Formula: cos(2x)

Another representation is 1 - 2 sin²(x).

Double Angle Formula: tan(2x)

The expression equal to \frac{2 tan(x)}{1 - tan²(x)}.

Pythagorean Identity

The identity expressed as sin²(x) + cos²(x) = 1.

Pythagorean Identity

The identity that states 1 + tan²(x) = sec²(x).

Pythagorean Identity

The identity represented as 1 + cot²(x) = csc²(x).

Reciprocal Identity: csc(x)

Defined as 1/sinx

Reciprocal Identity: sec(x)

Defined as 1/cosx

Reciprocal Identity: cot(x)

Defined as 1/tan x

Quotient Identity: tan(x)

sinx/cos x

Quotient Identity: cot(x)

Equal to cos/sinx

Even Identity: sin(-x)

Equal to -sin(x).

Even Identity: cos(-x)

Equal to cos(x).

Odd Identity: tan(-x)

Equal to -tan(x).