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Mnenie [13.5K]
3 years ago
15

The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin

, cos, and tan for this angle.
Mathematics
1 answer:
viva [34]3 years ago
7 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

A (4 , -3)

r = ?

sin = ?

cos = ?

tan = ?

Process

1.- Plot the point

This point is in the fourth quadrangle

2.- Calculate r

We have the Opposite side and the Adjacent side

       tan Ф = -3/4

       tan⁻¹ Ф = Ф = 323.1

        Ф = 323.1°

3.- sinФ =

Calculate the hypotenuse

        c² = 4² + (-3)²

        c² = 16 + 9

        c² = 25

        c = 5

 sinФ = -3/5

cos Ф = 4/5

tan Ф = -3/4

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Answer:

2a = 108

Step-by-step explanation:

the 3 angles of the triangle add to 180

lets call the unknown angle  in the triangle y

a+10 + y + 44 = 180


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solve this for y by subtracting 2a from each side

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now we can substitute this into the triangle equation

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5 0
3 years ago
The answer to this question
Vesnalui [34]

From indices : when you have a fraction like 3⁶/5

we can also write it as (5√3)^6

and we were given (c√a )^b

meaning that anywhere the letters are, we put them as the numbers there.

therefore: a = 3 , b = 6 , c = 5

Hope this helps and you understood it.

you're super free to ask any more questions eh.

Good luck ✅.

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Answer:

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