Untitled Quiz

<p>csc(θ) = hypotenuse / opposite (D)</p> Signup and view all the answers

<p>csc(θ) (D)</p> Signup and view all the answers

<p>sec(θ) = 1 / cos(θ) (D)</p> Signup and view all the answers

<p>(cos(θ), sin(θ)) (B)</p> Signup and view all the answers

<p>nπ where n is any integer (B)</p> Signup and view all the answers

<p>The sine function ranges from -1 to 1. (C)</p> Signup and view all the answers

<p>tan(θ) = 1/cot(θ) (B)</p> Signup and view all the answers

<p>csc(θ) ≥ 1 and csc(θ) ≤ −1 (D)</p> Signup and view all the answers

<p>tan(θ) = sin(θ)/cos(θ) (B)</p> Signup and view all the answers

<p>−1 ≤ x ≤ 1 (D)</p> Signup and view all the answers

<p>sin(2θ) = 2sin(θ)cos(θ) (D)</p> Signup and view all the answers

<p>sin(θ + 2π) = sin(θ) (D)</p> Signup and view all the answers

<p>When sin(θ) = 0 (B)</p> Signup and view all the answers

<p>cos(-θ) = cos(θ) (B)</p> Signup and view all the answers

<p>−∞ &lt; x &lt; ∞ (A)</p> Signup and view all the answers

<p>Both B and C are correct. (B)</p> Signup and view all the answers

<p>tan²(θ) + 1 = cot²(θ) (B)</p> Signup and view all the answers

<p>csc(θ) = 1/sin(θ) (D)</p> Signup and view all the answers

<p>cos(θ) (A)</p> Signup and view all the answers

In a right triangle, the ratio of the side opposite to the angle to the hypotenuse.

In a right triangle, the ratio of the side adjacent to the angle to the hypotenuse.

In a right triangle, the ratio of the side opposite to the angle to the side adjacent to the angle.

The number T such that f(θ + T) = f(θ) for any angle θ.

All angles.

All angles.

All angles except odd multiples of π/2.

2π/ω

The range of the sine function is all values between -1 and 1, inclusive. -1 ≤ sin(θ) ≤ 1

The range of the cosine function is all values between -1 and 1, inclusive. -1 ≤ cos(θ) ≤ 1

The range of the tangent function is all real numbers. −∞ < tan(θ) < ∞

The range of the cotangent function is all real numbers. −∞ < cot(θ) < ∞

The range of the secant function includes values greater than or equal to 1, and less than or equal to -1. sec(θ) ≥ 1 and sec(θ) ≤ −1

The range of the cosecant function includes values greater than or equal to 1, and less than or equal to -1. csc(θ) ≥ 1 and csc(θ) ≤ −1

Sum-to-product formula for sine adds to 2 sin((α+β)/2) cos((α-β)/2)

Sum-to-product formula for cosine adds to 2 cos((α+β)/2) cos((α-β)/2)

Double angle formula; equal to 2sin(θ)cos(θ)

Double angle formula; equal to cos²(θ) − sin²(θ) or 2cos²(θ) -1

Trigonometric functions repeat every 2π radians (or 360 degrees) for sine and cosine and every π radians (or 180 degrees) for tangent and cotangent.