Trig Identity Review

What is the identity for cotangent in terms of sine and cosine?

• @@ ext{cot } x = rac{ ext{sin } x}{ ext{cos } x}@@

• @@ ext{cot } x = rac{ ext{cos } x}{ ext{sin } x}@@

• @@ ext{cot } x = ext{sin } x imes ext{cos } x@@

• @@ ext{cot } x = rac{1}{ ext{tan } x}@@

What is the definition of tangent in terms of sine and cosine?

• @@ an x = rac{ ext{sin } x}{ ext{cos } x}@@

• @@ an x = rac{ ext{cos } x}{ ext{sin } x}@@

• @@ an x = ext{sin } x + ext{cos } x@@

• @@ an x = ext{sin } x - ext{cos } x@@

What is the definition of cosecant in terms of sine?

• @@ ext{csc } x = rac{1}{ ext{sin } x}@@

• @@ ext{csc } x = ext{sin } x@@

• @@ ext{csc } x = rac{ ext{sin } x}{1}@@

• @@ ext{csc } x = rac{1}{ ext{cos } x}@@

What is the identity for the sum of angles in cosine?

• @@ ext{cos}(a + b) = ext{cos}(a) ext{cos}(b) - ext{sin}(a) ext{sin}(b)@@

• @@ ext{cos}(a + b) = ext{cos}(a) ext{sin}(b) + ext{sin}(a) ext{cos}(b)@@

• @@ ext{cos}(a + b) = ext{cos}(a + b)@@

• @@ ext{cos}(a + b) = ext{sin}(a) ext{sin}(b) - ext{cos}(a) ext{cos}(b)@@

Simplify: @@\frac{\tan x}{\frac{1}{\text{sec } x}}@@

• @@\tan x \times \text{sec } x = \text{sin } x@@

• @@\tan x \times \text{sec } x = \text{cos } x@@

• @@\tan x \times \text{sec } x = \text{tan } x@@

• @@\tan x \times \text{sec } x = \text{sec } x@@

What is the definition of secant in terms of cosine?

• @@ ext{sec } x = rac{1}{ ext{cos } x}@@

• @@ ext{sec } x = ext{cos } x@@

• @@ ext{sec } x = rac{ ext{cos } x}{1}@@

• @@ ext{sec } x = rac{1}{ ext{sin } x}@@

Simplify: @@\frac{\tan x}{\tan x}@@

• 0

• 1

• \tan x

• \frac{1}{\tan x}

What is the Pythagorean identity involving sine and cosine?

• @@ ext{sin}^2 x + ext{cos}^2 x = 1@@

• @@ ext{sin}^2 x - ext{cos}^2 x = 1@@

• @@ ext{sin}^2 x + ext{cos}^2 x = 0@@

• @@ ext{sin}^2 x + ext{cos}^2 x = 2@@

What is the reciprocal identity for sine?

• @@ ext{csc } x = rac{1}{ ext{sin } x}@@

• @@ ext{sec } x = rac{1}{ ext{cos } x}@@

• @@ ext{cot } x = rac{1}{ ext{tan } x}@@

• @@ ext{csc } x = rac{1}{ ext{tan } x}@@

What is the double angle formula for cosine?

• @@ ext{cos}(2x) = ext{cos}^2(x) - ext{sin}^2(x)@@

• @@ ext{cos}(2x) = 2 ext{cos}^2(x) - 1@@

• @@ ext{cos}(2x) = 1 - 2 ext{sin}^2(x)@@

• @@ ext{cos}(2x) = ext{sin}^2(x) - ext{cos}^2(x)@@