Solving Trig Equations

Front

What is the definition of the tangent function?

Back

The tangent function, denoted as tan(x), is the ratio of the opposite side to the adjacent side in a right triangle. It can also be defined as tan(x) = sin(x)/cos(x).

Front

What is the range of the inverse tangent function, tan^-1(x)?

Back

The range of the inverse tangent function, tan^-1(x), is (-π/2, π/2).

Front

What is the relationship between sec^-1(x) and cos(x)?

Back

sec^-1(x) is the angle whose secant is x, which means cos(sec^-1(x)) = 1/x.

Front

What is the definition of the cosecant function?

Back

The cosecant function, denoted as csc(x), is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the domain of the secant function?

Back

The domain of the secant function, sec(x), is all real numbers except for x = (2n+1)π/2, where n is an integer.

Front

What is the value of cos^-1(1)?

Back

cos^-1(1) = 0.

Front

What is the value of sin^-1(0)?

Back

sin^-1(0) = 0.

Front

Back

Front

What is the value of sec^-1(-2)?

Back

Front

Back