Quiz In Class

Title: Trigonometry function( sine, cosine, tangent)

Grade: 10-a Lesson: S3-L1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

If tan(α) = \$5/12\$ and sin(β) = \$3/5\$, where α and β are acute angles, calculate the value of tan(α - β).

A) \$7/24\$

B) \$-16/63\$

C) \$12/5\$

D) \$5/7\$

2

If tan \$ \theta = -5/12 \$and \$ \theta \$ is in Quadrant IV, find the values of sin(\$ \theta \$) and cos(\$ \theta \$).

A) \$ 5/13\$, \$ - 12/13\$

B) \$ 12/13\$, \$ 5/13\$

C) \$ - 5/13\$, \$ 12/13\$

D) \$ - 12/13\$, \$ - 5/13\$

3

If sin θ = \$\sqrt3/2\$ and cos θ = \$-1/2\$, in which quadrant is θ?

A) Quadrant I

B) Quadrant IV

C) Quadrant II

D) Quadrant III

4

Calculate \$4sec((3pi) / 2)\$.

A) Undefined

B) 0

C) \$ \infty \$

D) 1

5

Find the value of the expression: \$ sin(pi/2) cos(pi/4) + cos(pi/2) sin(pi/4) \$.

A) \$ \sqrt(2)/2\$

B) \$ 1/2\$

C) 1

D) 0

6

If sin \$ \theta = -7/8 \$and \$ \theta \$ is in Quadrant III, find the values of tan(\$ \theta \$) and cos(\$ \theta \$).

A) \$(7\sqrt(15))/15\$, \$- \sqrt(15)/8\$

B) \$\sqrt(8)/15\$ , \$(- 7\sqrt(15))/15\$

C) \$\sqrt(8)/15\$ , \$(\sqrt(-7))/15\$

D) \$(-7\sqrt(15))/15\$ , \$\sqrt(-15)/8\$

7

If cos θ = \$\sqrt5/3\$ and sin θ = \$-4/5\$, in which quadrant is θ.

A) Quadrant IV

B) Quadrant II

C) Quadrant III

D) Quadrant I

8

Calculate \$6cosec((5pi) / 2)\$.

A) 3

B) 6

C) - 3

D) - 6

9

Find the value of the expression: \$ tan(pi/4) cos(pi/6) + tan(pi/3) sin(pi/6) \$.

A) \$\sqrt(-3)\$

B) \$\sqrt2\$

C) \$\sqrt3\$

D) \$\sqrt(-2)\$

10

Find the value of the expression: \$ cosec(pi/3) sin(pi/5) + cos(pi/3) sec(pi/6) \$.

A) \$\sqrt(3)/3\$

B) \$1+\sqrt(3)\$

C) \$\sqrt(3)\$

D) \$1 + \sqrt(3)/3\$


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