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3 years ago

8

Please help! I’ll mark brainliest

1 answer:

OLga [1]3 years ago

8 0

The answer would be 6

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Given tan of theta = -2 and pi/2; find cos(2theta)

Nata [24]

Given tan of theta = -2 and pi/2; find cos(2theta)
The identity of cos (2 theta)= $cos(2\theta )=\frac{1-tan^2\theta }{1+tan^2\theta }$
Given tan of theta = -2 and pi/2.
So, let's plug in tan theta= -2
$cos(2\theta)= \frac{1-(-2)^2}{1+(-2)^2}$
= $\frac{1-4}{1+4}$ (Squaring)
= $\frac{-3}{5}$ (simplifying)
So, cos ( 2 theta) = -3/5.
Now we can plug in tan theta = π/2
$cos(2\theta)= \frac{1-(π/2)^2}{1+(π/2)^2}$
= $\frac{1-pi^2/4}{1+pi^2/4}$ (Squaring)
= $\frac{4-pi^2}{4+pi^2}$ Simplifying
So, cos ( 2 theta)= -3/5 and (4-pi^2)/(4+pi^2)

5 0

4 years ago

Read 2 more answers

Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie tick

levacccp [35]

Answer:

B. 4/21

Step-by-step explanation:

⇒This question is on probability

⇒Number of boys=3

⇒Number of girls=4

⇒P(S)= 4+3=7

Probability for a girl to win is= 4/7

We have 3 awards a free movie ticket, a collectible poster, or a free popcorn

P(S)= 3

Probability of being awarded a free popcorn = 1/3

The probability that a girl will win free popcorn =

4/7 * 1/3 = 4/21

hope i helped and have a wonderful day

6 0

3 years ago

A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estima

sasho [114]

Answer:

5√13 = c OR 18. 0

Step-by-step explanation:

Using the Pyhtagorean Theorem, we will solve for x (in this case our hypothenuse)

a2 + b2 = c2

10(square) + 15(square)= c2 .....10*10 = 100 and 15* 15= 225

100 + 225 = c2

325= c2

√325 = c

5√13 = c OR 18. 0

5 0

3 years ago

A mountain climber ascends a mountain to its peak. The peak is 14,020 ft above sea level. The climber then descends 260 ft to me

Ivahew [28]

The answer to that is 25 so the answer is b

4 0

3 years ago

9^-5/9^3 single positive exponent

Len [333]

Answer: 9^-8

Step-by-step explanation:

To get single positive exponent,

9^-5 / 9^3

Since the exponent is same

So we can solve the coefficient like this

9^-5-3

So

9^-8

3 0

3 years ago