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7nadin3 [17]
3 years ago
5

I don’t understand, spent 2 hours on it

Mathematics
1 answer:
Ganezh [65]3 years ago
7 0
A is 45 b is 90 and c if 90
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Step-by-step explanation:

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Please simplify the answer!
frutty [35]

Answer:

y = 9

Step-by-step explanation:

Given

4 + \frac{y}{3} = 7

Isolate the term in y by subtracting 4 from both sides

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Find the slope of ( 3,7 ) ( 4,10 )
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Step-by-step explanation:

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2 years ago
Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.
kumpel [21]

Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

Find the sin(\theta)

we have

csc(\theta)=\frac{3}{2}

Remember that

csc(\theta)=\frac{1}{sin(\theta)}

therefore

sin(\theta)=\frac{2}{3}

step 2

Find the cos(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

sin(\theta)=\frac{2}{3}

substitute

(\frac{2}{3})^{2} +cos^{2}(\theta)=1

\frac{4}{9} +cos^{2}(\theta)=1

cos^{2}(\theta)=1-\frac{4}{9}

cos^{2}(\theta)=\frac{5}{9}

square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

cos(\theta)=-\frac{\sqrt{5}}{3}

substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

6 0
3 years ago
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