Introduction To Trigonometry Practice 1: Right Triangles And Basic Ratios

Practise focused skills from Introduction to Trigonometry

MathematicsGrade 10Mixed10 questions20 min

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Section A: Sides and Basic Ratios · 5 questionsSection B: Evaluate and Diagnose · 5 questions

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Section A: Sides and Basic Ratios

Classify sides and connect them to sine, cosine and tangent.

Choose the best answer for each question.

Question 1

EasyQuestion

In right triangle $ABC$ , $\angle B=90^\circ$ and the selected angle is $\angle A$ . Which side is the hypotenuse?

Topic: Right Triangle Basics · Skill: Identify opposite, adjacent and hypotenuse

Question 2

MediumQuestion

In right triangle $PQR$ , $\angle Q=90^\circ$ . With respect to $\angle P$ , which side is opposite?

Topic: Right Triangle Basics · Skill: Identify opposite, adjacent and hypotenuse

Question 3

EasyQuestion

Which definition of $\sin A$ is correct in a right triangle?

Topic: Trigonometric Ratios · Skill: Define sine, cosine and tangent

Question 4

MediumQuestion

For an acute angle $A$ in a right triangle, which ratio equals $\tan A$ ?

Topic: Trigonometric Ratios · Skill: Define sine, cosine and tangent

Question 5

MediumQuestion

If $\sin A=\frac{5}{13}$ , what is $\cosec A$ ?

Topic: Trigonometric Ratios · Skill: Define cosecant, secant and cotangent

What this assignment covers

Identify sides, define ratios, and evaluate ratios from side lengths.

Skills and sections

Identify opposite, adjacent and hypotenuse, Define sine, cosine and tangent, Define cosecant, secant and cotangent, Explain why trigonometric ratios depend on angle, Find ratios from side lengths

Section A: Sides and Basic Ratios: 5 questions
Section B: Evaluate and Diagnose: 5 questions