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3 years ago

What is the ratio for tan (C)? (Hint: SOHCAHTOA)

Mathematics

1 answer:

Sever21 [200]3 years ago

4 0

Answer:

D. 3/4

Step-by-step explanation:

tan(C) = opposite / adjacent = 3/4

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If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

sweet-ann [11.9K]

Answer:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

Step-by-step explanation:

Given

$tan\theta = 3$

Required

Find

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$

Calculate $tan(\theta + \pi) \ and\ tan(\theta+2\pi)$

Using tan rule

$tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}$

So:

$tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + \pi) = \frac{tan\theta}{1 }$

$tan(\theta + \pi) = \tan\theta$

$tan(\theta+2\pi)$

$tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}$

$tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + 2\pi) = \tan\theta$ '

'So:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$ $= tan\theta +tan\theta +tan\theta$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

4 0

2 years ago

4. Evaluate the expression for the given value of each variable.

Novosadov [1.4K]

Answer:

-18

Step-by-step explanation:

5a2-7-b3

$5*a*2-7-b*3$

$5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3$

Therefore, -18 is your answer.

Hope this helped! :)

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3 years ago

What is the x-intercepts of the function f(x)=-2x2-3x+20

Dmitry [639]

Hey,
The x-intercepts are the coordinates where the line intercepts the x-axis.

x-intercepts: $( \frac{16}{3}, 0)$

Cheers,
Izzy

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If 5 friends buy a package of 38 balloons, how should they divide them?

Nastasia [14]

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2 years ago

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