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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Trigonometry function( sine, cosine, tangent)

Grade: 1300-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	In a right triangle, one of the acute angles measures \$(pi/3)\$, and \$cos(pi/3)= sinx\$. What is the measure of x?	A) \$ pi/12 \$ B) \$ pi/6 \$ C) \$ pi/3 \$ D) \$ (2pi)/3 \$
2	Evaluate \$ cot(- (43pi)/6) \$ without the use of a graphing calculator or a trigonometric table.	A) \$ 1/\sqrt3\$ B) \$ 1/2\$ C) \$ - \sqrt3 \$ D) 0
3	An angle θ in a standard position such that \$cosθ = - (3 \sqrt2)/10 \$ and sin 0 > 0. Calculate tan(θ) and cot(θ). $3$	A) \$tan(θ) = - \sqrt23/2\$, \$cot(θ) = - (3\sqrt23)/23 \$ B) \$tan(θ) = \sqrt41/3\$, \$cot(θ) = - (3\sqrt41)/41 \$ C) \$tan(θ) = \sqrt11/3\$, \$cot(θ) = (2\sqrt11)/11 \$ D) \$tan(θ) = - \sqrt41/3\$, \$cot(θ) = - (3\sqrt41)/41 \$
4	An observer stands on one side of a river and spots a tree directly across on the other side. The observer walks 100 meters downstream and finds that the angle formed by the tree and his original position is 30 degrees. What is the width of the river?	A) 57.74 B) 62.32 C) 51.04 D) 69.99
5	Find the value of sec(θ), and tan(θ) using the image. $5$	A) \$ sec(θ) = \sqrt2\$, \$tan(θ) = 1\$ B) \$ sec(θ) = 1/ \sqrt2\$, \$tan(θ) = 1\$ C) \$ sec(θ) = \sqrt2\$, \$tan(θ) = 1/\sqrt2\$ D) \$ sec(θ) = \sqrt3\$, \$tan(θ) = 2\sqrt2\$
6	If \$cos(θ) = 1/2\$, find tan(θ).	A) \$\sqrt(3)\$ B) \$\sqrt(4)\$ C) \$\sqrt(5)\$ D) \$\sqrt(6)\$
7	Angelina just got a new car, and she wants to ride it to the top of a mountain and visit a lookout point. If she drives 4000 meters along a road that is inclined 22° to the horizontal, how high above her starting point is she when she arrives at the lookout?	A) 1498.42 m B) 1498.24 m C) 1489.42 m D) 1489.24 m
8	Find the value of the product of the six trigonometric functions.	A) 2 B) 1 C) 3 D) 4
9	Triangle PQR is a right triangle with the 90° angle at verex Q. The length of side PQ is 25 and the length of side QR is 60. Triangle STU is similar to triangle PQR. The vertices S, T and U correspond to vertices P, Q, and R, respectively. What is the value of cos∠U?	A) \$5/13\$ B) \$5/6\$ C) \$12/13\$ D) \$5/12\$
10	If sinx = \$cos ((13pi)/6)\$, which of the following could be the value of x?	A) \$pi/2\$ B) \$pi/4\$ C) \$pi/6\$ D) \$pi/3\$

Problem Id

Problem

Options

In a right triangle, one of the acute angles measures \$(pi/3)\$, and \$cos(pi/3)= sinx\$. What is the measure of x?

A) \$ pi/12 \$

B) \$ pi/6 \$

C) \$ pi/3 \$

D) \$ (2pi)/3 \$

Evaluate \$ cot(- (43pi)/6) \$ without the use of a graphing calculator or a trigonometric table.

A) \$ 1/\sqrt3\$

B) \$ 1/2\$

C) \$ - \sqrt3 \$

D) 0

An angle θ in a standard position such that \$cosθ = - (3 \sqrt2)/10 \$ and sin 0 > 0. Calculate tan(θ) and cot(θ).

$3$

A) \$tan(θ) = - \sqrt23/2\$,
\$cot(θ) = - (3\sqrt23)/23 \$

B) \$tan(θ) = \sqrt41/3\$,
\$cot(θ) = - (3\sqrt41)/41 \$

C) \$tan(θ) = \sqrt11/3\$,
\$cot(θ) = (2\sqrt11)/11 \$

D) \$tan(θ) = - \sqrt41/3\$,
\$cot(θ) = - (3\sqrt41)/41 \$

An observer stands on one side of a river and spots a tree directly across on the other side. The observer walks 100 meters downstream and finds that the angle formed by the tree and his original position is 30 degrees. What is the width of the river?

A) 57.74

B) 62.32

C) 51.04

D) 69.99

Find the value of sec(θ), and tan(θ) using the image.

$5$

A) \$ sec(θ) = \sqrt2\$,
\$tan(θ) = 1\$

B) \$ sec(θ) = 1/ \sqrt2\$,
\$tan(θ) = 1\$

C) \$ sec(θ) = \sqrt2\$,
\$tan(θ) = 1/\sqrt2\$

D) \$ sec(θ) = \sqrt3\$,
\$tan(θ) = 2\sqrt2\$

If \$cos(θ) = 1/2\$, find tan(θ).

A) \$\sqrt(3)\$

B) \$\sqrt(4)\$

C) \$\sqrt(5)\$

D) \$\sqrt(6)\$

Angelina just got a new car, and she wants to ride it to the top of a mountain and visit a lookout point. If she drives 4000 meters along a road that is inclined 22° to the horizontal, how high above her starting point is she when she arrives at the lookout?

A) 1498.42 m

B) 1498.24 m

C) 1489.42 m

D) 1489.24 m

Find the value of the product of the six trigonometric functions.

A) 2

B) 1

C) 3

D) 4

Triangle PQR is a right triangle with the 90° angle at verex Q. The length of side PQ is 25 and the length of side QR is 60. Triangle STU is similar to triangle PQR. The vertices S, T and U correspond to vertices P, Q, and R, respectively. What is the value of cos∠U?

A) \$5/13\$

B) \$5/6\$

C) \$12/13\$

D) \$5/12\$

If sinx = \$cos ((13pi)/6)\$, which of the following could be the value of x?

A) \$pi/2\$

B) \$pi/4\$

C) \$pi/6\$

D) \$pi/3\$