Transformations

Transformations and argument simplifications

Argument involving complex characteristics

Argument involving basic arithmetic operations

Addition formulas

Half-angle formulas

Multiple arguments

For products

For quotients

Power of arguments

Exponent of arguments

Some functions of arguments

Products, sums, and powers of the direct function

Products of the direct function

Sums of the direct function

Differences of the direct function

Linear combinations of the direct function

Related transformations

Sums involving the direct function

Involving sin^-1(z)

Involving cos^-1(z)

Involving tan^-1(z)

Involving cot^-1(z)

Involving csc^-1(z)

Involving sec^-1(z)

Involving sinh^-1(z)

Involving cosh^-1(z)

Involving tanh^-1(z)

Involving coth^-1(z)

Involving csch^-1(z)

Involving sech^-1(z)

Differences involving the direct function

Involving sin^-1(z)

Involving cos^-1(z)

Involving tan^-1(z)

Involving cot^-1(z)

Involving csc^-1(z)

Involving sec^-1(z)

Involving sinh^-1(z)

Involving cosh^-1(z)

Involving tanh^-1(z)

Involving coth^-1(z)

Involving csch^-1(z)

Involving sech^-1(z)

Linear combinations involving the direct function

Involving sin^-1(z)

Involving cos^-1(z)

Involving tan^-1(z)

Involving cot^-1(z)

Involving csc^-1(z)

Involving sec^-1(z)

Involving sinh^-1(z)

Involving cosh^-1(z)

Involving tanh^-1(z)

Involving coth^-1(z)

Involving csch^-1(z)

Involving sech^-1(z)