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____ [38]
3 years ago
5

Given tantheta = 4/3 and pi < theta < 3pi/2; find cos2theta

Mathematics
2 answers:
Sidana [21]3 years ago
8 0

Answer:

d. -7/25

Step-by-step explanation:

π<θ<3π/2  in third quadrant

tanθ = 4/3

sinθ = - 4/5

cosθ = - 3/5

cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25

UkoKoshka [18]3 years ago
4 0

Answer:

-24/7

Step-by-step explanation:

We know that,  

tan

2

θ

=

2

tan

θ

1

−

tan

2

θ

.

∴

tan

2

θ

=

2

⋅

3

4

1

−

9

16

=

3

2

⋅

16

7

=

24

7

.

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Valentin [98]

Answer: a) y = - 3/2 x + 7/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = y intercept

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3, - 1) and (- 1, 5),

y2 = 5

y1 = -1

x2 = - 1

x1 = 3

Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =

- 3/2

To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes

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- 1 = - 9/2 + c

c = - 1 + 9/2

c = 7/2

The equation becomes

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4 0
3 years ago
Read 2 more answers
can someone help me with this please
steposvetlana [31]

Answer:

7.5

5×1.5=7.5

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igor_vitrenko [27]

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2 years ago
Marta earns a weekly salary of 110$ plus a 6.5% commission on sales at a hobby store. How much would she make in a week if she s
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Step-by-step explanation:

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gregori [183]

Answer:

2) x=60

Step-by-step explanation:

x/6=10

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2 years ago
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