Introduction To Trigonometry Practice 2: Standard Values And Relationships

Practise focused skills from Introduction to Trigonometry

MathematicsGrade 10Mixed10 questions20 min

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Section A: Standard and Boundary Angles · 5 questionsSection B: Relationships · 5 questions

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Section A: Standard and Boundary Angles

Recall and apply exact trigonometric values.

Choose the best answer for each question.

Question 1

EasyQuestion

What is the exact value of $\sin 30^\circ$ ?

Topic: Standard Angles · Skill: Recall values for 30°, 45° and 60°

Question 2

MediumQuestion

Which pair of values is correct?

Topic: Standard Angles · Skill: Recall values for 30°, 45° and 60°

Question 3

MediumQuestion

Which value is defined and correct?

Topic: Boundary Angles · Skill: Use defined ratios at 0° and 90°

Question 4

MediumQuestion

Evaluate $2\sin 30^\circ+\cos 60^\circ$ .

Topic: Trigonometric Expressions · Skill: Evaluate expressions with standard angles

Question 5

AdvancedQuestion

Evaluate $\tan^2 45^\circ+\cos^2 60^\circ$ .

Topic: Trigonometric Expressions · Skill: Evaluate expressions with standard angles

What this assignment covers

Use standard angle values, boundary values, complementary angles and reciprocals.

Skills and sections

Recall values for 30°, 45° and 60°, Use defined ratios at 0° and 90°, Evaluate expressions with standard angles, Use complementary angle relationships, Convert between reciprocal ratios

Section A: Standard and Boundary Angles: 5 questions
Section B: Relationships: 5 questions