Introduction to Trigonometry

Topics in this chapter

• Right-Triangle Trigonometric Ratios
• Standard and Specific Angle Values
• Complementary Angle Relationships
• Trigonometric Identities and Proofs
• Algebraic Trigonometric Manipulation
• Trigonometric Equation Solving
• Trigonometric Maximum and Minimum Values

Cheat sheet

Practice questions

1. Question 1Q-8B8AC2

   If $\sin \theta = \frac{3}{5}$, then the value of $\tan \theta$ is:

   1. A.$\frac{4}{3}$
   2. B.$\frac{3}{4}$
   3. C.$\frac{5}{4}$
   4. D.$\frac{4}{5}$
   See the answer and solution
2. Question 2Q-EA0DB6

   The value of $\frac{2 \tan 30^\circ}{1 + \tan^2 30^\circ}$ is equal to:

   1. A.$\sin 60^\circ$
   2. B.$\cos 60^\circ$
   3. C.$\tan 60^\circ$
   4. D.$\sin 30^\circ$
   See the answer and solution
3. Question 3Q-9F7621

   If $\sec \theta + \tan \theta = x$, then the value of $\sec \theta - \tan \theta$ in terms of $x$ is:

   1. A.$x$
   2. B.$\frac{1}{x}$
   3. C.$x^2$
   4. D.$1 - x$
   See the answer and solution
4. Question 4Q-AA3FD1

   Evaluate: $9 \sec^2 A - 9 \tan^2 A$.

   1. A.$1$
   2. B.$9$
   3. C.$8$
   4. D.$0$
   See the answer and solution
5. Question 5Q-BFF296

   If $\sin(A - B) = \frac{1}{2}$ and $\cos(A + B) = \frac{1}{2}$, where $(A + B)$ is acute and $A > B$, find the values of $A$ and $B$.

   See the answer and solution