Mathematics, 26.01.2020 17:31 Angel1107

Match the following trigonometric expression with its correct value.

picture is attached below

Match the following trigonometric expression with its correct value. picture is attached

Answers: 3

Show answers

Answers

Answer from: TrudnEli9904

Hello!

The answers are:

1 - Tan(120°)

$tan(120)=-\sqrt{3}$

2 - Sin(120°)

$sin(120)=\frac{\sqrt{3} }{2}$

3 - cos(150)

$cos(150)=-\frac{\sqrt{3} }{2}$

4 - Cos(135°)

$cos(135)=-\frac{\sqrt{2} }{2}$

5 - Sin(135)

$sin(135)=\frac{\sqrt{2} }{2}$

Why?

To solve this problem, we need to remember the following identity:

$tan\alpha =\frac{sin\alpha }{cos\alpha}$

Also, we need to program our calculator to the degree mode.

So, solving we have:

1 - Tan(120°)

$tan(120)=\frac{sin(120)}{cos(120)}=\frac{\frac{\sqrt{3} }{2} }{-\frac{1}{2}}\\\\\frac{\frac{\sqrt{3} }{2} }{-\frac{1}{2}}=\frac{\sqrt{3} }{2} *{-\frac{2}{1}}=-\sqrt{3}$

2 - Sin(120°)

$sin(120)=\frac{\sqrt{3} }{2}$

3 - cos(150)

$cos(150)=-\frac{\sqrt{3} }{2}$

4 - Cos(135°)

$cos(135)=-\frac{\sqrt{2} }{2}$

5 - Sin(135°)

$sin(135)=\frac{\sqrt{2} }{2}$

Have a nice day!

Answer from: brandonthomas11

1. tan 120° = -√3

2. sin 120° = √3/2

3. cos 150° = -√3/2

4. cos 135° = -√2/2

5. sin 135° = √2/2

Step-by-step explanation:

* Lets study the unit circle and the four quadrant

- Any point on the unit circle has x- coordinate = cos(x) and

y-coordinate = sin(x), where x is the angle between the positive

part of the x-axis and the radius of the unit circle

- In the first quadrant all the trigonometry functions are +ve

- In the second quadrant sin(x) only is +ve

- In the third quadrant tan(x) only is +ve

- In the fourth quadrant cos(x) only is +ve

- Look to the attached figure

* Now lets solve the problem

1. tan 120°

- Angle 120° is equivalent to angle 60° in the 1st quadrant

∵ 120° in the 2nd quadrant

∴ tan 120° is negative

∵ tan 60° = √3

∴ tan 120° = -√3

2. sin 120°

- Angle 120° is equivalent to angle 60° in the 1st quadrant

∵ 120° in the 2nd quadrant

∴ sin 120° is positive

∵ sin 60° = √3/2

∴ sin 120° = √3/2

3. cos 150°

- Angle 150° is equivalent to angle 30° in the 1st quadrant

∵ 150° in the 2nd quadrant

∴ cos 150° is negative

∵ cos 30° = √3/2

∴ cos 150° = -√3/2

4. cos 135°

- Angle 135° is equivalent to angle 45° in the 1st quadrant

∵ 135° in the 2nd quadrant

∴ cos 135° is negative

∵ cos 45° = √2/2

∴ cos 135° = -√2/2

5. sin 135°

- Angle 135° is equivalent to angle 45° in the 1st quadrant

∵ 135° in the 2nd quadrant

∴ sin 135° is positive

∵ sin 45° = √2/2

∴ sin 135° = √2/2

Match the following trigonometric expression with its correct value. picture is attached below

Answer from: Quest

step-by-step explanation:

this is not a question

Answer from: Quest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:00, alaina3792

Lucy is a dress maker. she sews \dfrac47 7 4 of a dress in \dfrac34 4 3 hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable

Answers: 3

continue

Mathematics, 21.06.2019 20:00, brittanybyers122

Which type of graph would allow us to compare the median number of teeth for mammals and reptiles easily

Answers: 2

continue

Mathematics, 21.06.2019 20:50, RyleyM

The cost of turkey is directly proportional to its weight. if a 12-pount turkey costs $27, how much does a 16-pound turkey cost? a. $33.75 b. $36.00 c. $31.00 d. $32.50

Answers: 3

continue

Mathematics, 21.06.2019 21:30, lilbit217

The map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 112 miles due north of the warehouse. a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled?

Answers: 3

continue

You know the right answer?

Match the following trigonometric expression with its correct value.

picture is attached...