Inverse Trig

Front

What is the definition of Inverse Trigonometric Functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They are denoted as sin^-1, cos^-1, and tan^-1.

Front

What is the relationship between sine and its inverse?

Back

If sin(x) = y, then x = sin^-1(y).

Front

What is the relationship between cosine and its inverse?

Back

If cos(x) = y, then x = cos^-1(y).

Front

What is the relationship between tangent and its inverse?

Back

If tan(x) = y, then x = tan^-1(y).

Front

What is the range of the inverse sine function?

Back

The range of the inverse sine function (sin^-1) is [-π/2, π/2].

Front

What is the range of the inverse cosine function?

Back

The range of the inverse cosine function (cos^-1) is [0, π].

Front

What is the range of the inverse tangent function?

Back

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

Front

How do you find the angle using inverse tangent?

Back

To find the angle, use the formula: angle = tan^-1(opposite/adjacent).

Front

What is the formula for tangent in terms of sine and cosine?

Back

Tangent can be expressed as: tan(x) = sin(x)/cos(x).

Front

What is the SOH CAH TOA mnemonic?

Back

SOH CAH TOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = sin = opposite/hypotenuse, CAH = cos = adjacent/hypotenuse, TOA = tan = opposite/adjacent.