Understanding Trigonometric Functions and Their Reciprocals

Which of the following is the reciprocal of the cosine function?

• Tangent

• Cotangent

• Secant

• Cosecant

What is the reciprocal of the sine function?

• Cotangent

• Tangent

• Cosecant

• Secant

How can you remember which trigonometric functions are reciprocals of each other?

• By the presence of the 'Co' prefix

• By their graphical representation

• By their alphabetical order

• By their mathematical properties

On the unit circle, what does the x-coordinate represent?

• Tangent

• Sine

• Cosecant

• Cosine

What is the secant of an angle if the cosine is √2/2?

• 1/√2

• 2/√2

• √2

• 2

If the sine of an angle is √3/2, what is the cosecant?

• 2/√3

• √3/2

• 1/√3

• 2√3/3

What is the cotangent of an angle if the tangent is 0?

• 0

• 1

• Infinity

• Undefined

How can you convert a negative angle to a positive angle?

• Subtract 2π

• Divide by 2

• Add 2π

• Multiply by -1

When is the tangent of an angle equal to 1?

• When sine equals cosine

• When sine is zero

• When cosine is zero

• When sine is negative

What is the tangent of an angle if both sine and cosine are negative?

• 1

• -1

• 0

• Undefined