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3 years ago

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Please show the work, i’ll mark as brainliest

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vazorg [7]3 years ago

6 0

Answer:

hope it helps you

mark me as brainliest

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QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Find the exact values of the six trigonometric functions for angle theta in standard positi

DIA [1.3K]

x = -6, y = 6, Now find the hypotenuse:

(-6)² + (6)² = hypotenuse²

36 + 36 = hypotenuse²

2(36) = hypotenuse²

√2(36) = hypotenuse

6√2 = hypotenuse

$sin\ \theta=\dfrac{y}{hypotenuse}=\dfrac{6}{6\sqrt2}=\dfrac{1}{\sqrt2}\cdot \dfrac{\sqrt2}{\sqrt2}=\boxed{\dfrac{\sqrt2}{2}}\\\\\\cos\ \theta=\dfrac{y}{hypotenuse}=\dfrac{-6}{6\sqrt2}=-\dfrac{1}{\sqrt2}\cdot \dfrac{\sqrt2}{\sqrt2}=\boxed{-\dfrac{\sqrt2}{2}}\\\\\\tan\ \theta=\dfrac{y}{x}=\dfrac{-6}{6}=\boxed{-1}\\\\\\csc\ \theta=\dfrac{hypotenuse}{y}=\dfrac{6\sqrt2}{6}=\boxed{\sqrt2}\\\\\\sec\ \theta=\dfrac{hypotenuse}{x}=\dfrac{6\sqrt2}{-6}=\boxed{-\sqrt2}$

$cot\ \theta=\dfrac{x}{y}=\dfrac{6}{-6}=\boxed{-1}$

7 0

4 years ago

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Pani-rosa [81]

Answer:

$d = 3\sqrt{5}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra II</u>

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point A (2, -1)

Point B (-4, 2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

Substitute [DF]: $d = \sqrt{(-4-2)^2+(2+1)^2}$
Subtract/Add: $d = \sqrt{(-6)^2+(3)^2}$
Exponents: $d = \sqrt{36+9}$
Add: $d = \sqrt{45}$
Simplify: $d = 3\sqrt{5}$

3 0

3 years ago

Find the complete factorization of the expression. 32xy − 56xyz

stepladder [879]

Xy(32 - 56z)
8xy(4 - 7z)

8 0

3 years ago

What is the 15th term of the sequence -4, -2, 0, 2, …?What is the 15th term of the sequence -4, -2, 0, 2, …?

Dmitriy789 [7]

Answer:

24

Step-by-step explanation:

6 0

3 years ago

❤Please help sweeties!❤

Alona [7]

Answer:

satisfy both equations

Step-by-step explanation:

4 0

3 years ago