Introduction to Trigonometry Test

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Introduction to Trigonometry Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

Given $$\cos\theta = \dfrac{2}{3}$$, find $$\sec\theta$$.

A
$$\dfrac{3}{2}$$

B
$$\dfrac{1}{2}$$

C
$$-\dfrac{3}{1}$$

D
$$-\dfrac{3}{2}$$

Solution

$$\cos\theta =\dfrac23= \dfrac{1}{\sec\theta}$$

$$\therefore \sec\theta = \dfrac{3}{2}$$
Question 2
1 / -0

The value of $$A$$ is______, if $$\tan A$$ is undefined

A
$$0^{\circ}$$

B
$$30^{\circ}$$

C
$$90^{\circ}$$

D
$$45^{\circ}$$

Solution

$$\because \tan 90^o= \dfrac{\sin 90^o}{\cos 90^o}=\dfrac10=undefined$$

$$\tan 90°$$ is undefined.

Hence, the answer is $$90°.$$
Question 3
1 / -0

The value of $$\cos 90^{\circ}$$ is ______.

A
$$1$$

B
$$0$$

C
$$\sqrt {3}$$

D
$$\dfrac {1}{\sqrt {3}}$$

Solution

$$\cos90^o=0$$
Question 4
1 / -0

The value of $$\text{cosec } 90^{\circ} =$$

A
$$0$$

B
Not defined

C
$$1$$

D
$$\sqrt {3}$$

Solution

$$\text{cosec}\ 90^{o}=\dfrac1{\sin 90^o}=1$$
Question 5
1 / -0

The history of trigonometry goes back to the earliest recorded mathematics in Egypt and _____.

A
German

B
Indian

C
Babylon

D
Japanese

Solution

The history of trigonometry goes back to the earliest recorded mathematics in Egypt and Babylon.
So, option C is correct.
Question 6
1 / -0

Trigonometry is used mainly due to the purpose of time keeping and _____.

A
space

B
stars

C
astronomy

D
planets

Solution

Trigonometry is used mainly due to the purpose of time keeping and astronomy.
So, option C is correct.
Question 7
1 / -0

The term trigonometry was first invented by the German mathematician ______.

A
William Rowan Hamilton

B
Euclid

C
Newton

D
Bartholomaeus Pitiscus

Solution

The term trigonometry was first invented by the German mathematician Bartholomaeus Pitiscus.
So, option D is correct.
Question 8
1 / -0

Trigonometry is a branch of mathematics that studies relationships involving lengths and ______ of triangles.

A
radian

B
degree

C
angle

D
vector

Solution

Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.
So, option C is correct.
Question 9
1 / -0

The first recorded use of trigonometry came from the Hellenistic mathematician ________________.

A
William Rowan Hamilton

B
Hipparchus

C
Newton

D
Bartholomaeus Pitiscus

Solution

The first recorded use of trigonometry came from the Hellenistic mathematician Hipparchus.
So, option B is correct.
Question 10
1 / -0

What is the value of $$\cos\theta \times\sec\theta$$ ?

A
$$4$$

B
$$3$$

C
$$2$$

D
$$1$$

Solution

$$\cos\theta = \dfrac{1}{\sec\theta}$$
Therefore,
$$\cos\theta \times \sec\theta = \cos\theta \times \dfrac{1}{\cos \theta} = 1$$

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Re-Attempt Weekly Quiz Competition

Introduction to Trigonometry Test - 23

Result

Introduction to Trigonometry Test - 23

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SHARING IS CARING

Question 1

$$\dfrac{3}{2}$$

$$\dfrac{1}{2}$$

$$-\dfrac{3}{1}$$

$$-\dfrac{3}{2}$$

Solution

Question 2

$$0^{\circ}$$

$$30^{\circ}$$

$$90^{\circ}$$

$$45^{\circ}$$

Solution

Question 3

$$1$$

$$0$$

$$\sqrt {3}$$

$$\dfrac {1}{\sqrt {3}}$$

Solution

Question 4

$$0$$

Not defined

$$1$$

$$\sqrt {3}$$

Solution

Question 5

German

Indian

Babylon

Japanese

Solution

Question 6

space

stars

astronomy

planets

Solution

Question 7

William Rowan Hamilton

Euclid

Newton

Bartholomaeus Pitiscus

Solution

Question 8

radian

degree

angle

vector

Solution

Question 9

William Rowan Hamilton

Hipparchus

Newton

Bartholomaeus Pitiscus

Solution

Question 10

$$4$$

$$3$$

$$2$$

$$1$$

Solution

User

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My Perfomance

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