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Tema [17]
3 years ago
15

I don’t know where to start with this problem

Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

√(4/5)

Step-by-step explanation:

First, let's use reflection property to find tan θ.

tan(-θ) = 1/2

-tan θ = 1/2

tan θ = -1/2

Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.

Now let's look at the problem we need to solve:

sin(5π/2 + θ)

Use angle sum formula:

sin(5π/2) cos θ + sin θ cos(5π/2)

Sine and cosine have periods of 2π, so:

sin(π/2) cos θ + sin θ cos(π/2)

Evaluate:

(1) cos θ + sin θ (0)

cos θ

We need to write this in terms of tan θ.  We can use Pythagorean identity:

1 + tan² θ = sec² θ

1 + tan² θ = (1 / cos θ)²

±√(1 + tan² θ) = 1 / cos θ

cos θ = ±1 / √(1 + tan² θ)

Plugging in:

cos θ = ±1 / √(1 + (-1/2)²)

cos θ = ±1 / √(1 + 1/4)

cos θ = ±1 / √(5/4)

cos θ = ±√(4/5)

Since θ is in the fourth quadrant, cos θ > 0.  So:

cos θ = √(4/5)

Or, written in proper form:

cos θ = (2√5) / 5

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Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

7 0
2 years ago
Divide -6/7 by 2/-3 please give answer very fast its urgent
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0.14285714285

Step-by-step explanation:

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I hope it helps! If not sorry :(

3 0
3 years ago
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Given DB=42 AD=26 and SAE=52
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Answer:

AC=42

EB=21

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Step-by-step explanation:

4 0
3 years ago
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Step-by-step explanation:

Hope this helps, And have a good day!

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3 years ago
What is the sum of the answers to the eqation?<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20%2B%205%2
MAVERICK [17]

Answer:

6

Step-by-step explanation:

x^{2} - 6x +5 = 0

x^{2} - 6x + 9 -9 +5 = 0

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therefore, sum of these solutions is 5+1 = 6

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3 years ago
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