Lesson Example Discussion Quiz: Class Homework |
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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