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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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Answer is C.
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5 0
3 years ago
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VladimirAG [237]
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1 

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
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in the triangle BCD
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BC=17491 ft

the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

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the answer part 2)  CD is 6499 ft
4 0
3 years ago
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(15 points)Please help out if you can!
Levart [38]

Answer:

The maximum is -3

Step-by-step explanation:

A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.

The vertex of the equation is (-7,-3)

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Inessa [10]

Answer:

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Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

F = 95K - 455.67

We are required to find the value of K when F=0:

95K - 455.67 = 0

Adding 455.67:

95K = 455.67

Dividing by 95;

K = 4.8

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2 years ago
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The square root of 1536 is equal to 39.19

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