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3 years ago

How to find the missing angle measures

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

I haven't learn that yet.

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Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

If you flipped the graph of y=x^2+4x-4 vertically, you would get the graph of y=-x^2+4x-4

bazaltina [42]

True...............................................................

3 0

3 years ago

Pls help. Abcdefjnshshsjnwishejjsjwhaunrshwjhd Jauahshwj

Lubov Fominskaja [6]

x = 72

Step-by-step explanation:

x + (2x - 36) = 180

3x - 36 = 180

3x = 180 + 36

3x = 216

x = 216/3

x = 72

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2 years ago

What is the volume of the prism? 2 cm 3cm 11 cm PLS HURRY

mafiozo [28]

Answer:

Step-by-step explanation:

multiply everything together

4 0

2 years ago

LAST ONE Find the range of the data. 16, 55, 61, 92, 31 range =

agasfer [191]

Answer:

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76

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3 years ago