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AP Calculus AB Unit 1A2: Trigonometric Functions & Inverse Trig — practice questions

Explore 94 free Unit 1A2: Trigonometric Functions & Inverse Trig questions in AP Calculus AB Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1A2: Trigonometric Functions & Inverse Trig questions and exercises with answers

Showing questions 1–30 of 94.

What is $\sin 90^{\circ}$?Read the answer and worked solution →What is $\cos 0^{\circ}$?Read the answer and worked solution →What is $\tan 60^{\circ}$?Read the answer and worked solution →What is $\tan 90^{\circ}$?Read the answer and worked solution →$\sin^{2} 45^{\circ} + \cos^{2} 45^{\circ}$ equals:Read the answer and worked solution →If $\sin\theta = \dfrac{3}{5}$ and $\theta$ is in the first quadrant, what is $\cos\theta$?Read the answer and worked solution →What is the **range** of the function $f(\theta) = \sin\theta$?Read the answer and worked solution →What is the **range** of $f(\theta) = \cos\theta$?Read the answer and worked solution →Solve for x: x = (4/5)(x + 10)Read the answer and worked solution →What is the value of $\tan 45^{\circ}$?Read the answer and worked solution →Convert $90^{\circ}$ to radian measure.Read the answer and worked solution →Convert $180^{\circ}$ to radians.Read the answer and worked solution →Convert $360^{\circ}$ to radians.Read the answer and worked solution →Convert $45^{\circ}$ to radian measure.Read the answer and worked solution →Convert $30^{\circ}$ to radian measure.Read the answer and worked solution →Convert $\dfrac{5\pi}{3}$ radians to degree measure.Read the answer and worked solution →Convert $\dfrac{7\pi}{6}$ radians to degree measure.Read the answer and worked solution →Convert $240^{\circ}$ to radian measure.Read the answer and worked solution →In a circle of radius $r$, an arc of length $l$ subtends an angle $\theta$ radian at the centre. The relation is:Read the answer and worked solution →A central angle of $60^{\circ}$ intercepts an arc of length $37.4$ cm in a circle. Find the radius. (Use $\pi = 22/7$.)Read the answer and worked solution →The minute hand of a clock is $1.5$ cm long. How far does its tip travel in $40$ minutes? (Use $\pi = 3.14$.)Read the answer and worked solution →Equal arcs in two circles subtend angles $65^{\circ}$ and $110^{\circ}$ at the centres. The ratio of the radii $r_{1} : r_{2}$ is:Read the answer and worked solution →The value of $\sin 0^{\circ} + \cos 0^{\circ} + \tan 45^{\circ}$ is:Read the answer and worked solution →Solve for x: 3x = 2x + 18Read the answer and worked solution →Solve for x: 5x + 9 = 5 + 3xRead the answer and worked solution →Solve for x: 8x + 4 = 3(x − 1) + 7Read the answer and worked solution →If 4z + 3 = 6 + 2z, what is the value of z?Read the answer and worked solution →Solve for x: (2x/3) + 1 = (7x/15) + 3Read the answer and worked solution →100 students; 50 like math, 60 like physics, 30 like both. Find students who like neither:Read the answer and worked solution →Number of one-one functions from {1, 2, 3} to {a, b, c, d, e}:Read the answer and worked solution →

Worked practice questions

What is $\sin 90^{\circ}$?

  1. $0$
  2. $1$
  3. $\dfrac{1}{2}$
  4. undefined
Show answer and solution

Correct answer: B. $1$

$\sin 90^{\circ} = 1$ (peak of the sine curve).

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What is $\cos 0^{\circ}$?

  1. $0$
  2. $\dfrac{1}{2}$
  3. $\dfrac{\sqrt{3}}{2}$
  4. $1$
Show answer and solution

Correct answer: D. $1$

$\cos 0^{\circ} = 1$.

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What is $\tan 60^{\circ}$?

  1. $\dfrac{1}{\sqrt{3}}$
  2. $1$
  3. $2$
  4. $\sqrt{3}$
Show answer and solution

Correct answer: D. $\sqrt{3}$

$\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\sqrt{3}/2}{1/2} = \sqrt{3}$.

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More Mathematics topics

Unit 3B: Implicit Differentiation and Inverse FunctionsUnit 3A: Chain Rule and Composite FunctionsUnit 1A3: Function Composition and InversesUnit 1A1: Relations, Functions and GraphsUnit 2: Differentiation and Fundamental Derivative RulesUnit 6A: Indefinite Integrals & Fundamental TheoremUnit 1B3: Asymptotic Behavior and Infinite LimitsUnit 1B1: Limit Concepts and Graphical Limits