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2 years ago

It said it was wrong

Mathematics

1 answer:

IRINA_888 [86]2 years ago

5 0

Answer:

well then, what was right?

Step-by-step explanation:

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Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

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$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

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2 years ago

Michelle bought two blouses for $18.20 each. If she received a 10% discount for the blouses and the sales tax rate is 7.25%, how

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The answer is B. $17.57

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3 years ago

What are the rigid transformations that will map AABC to ADEF?

asambeis [7]

Answer:

A tranlation and a rotaion.

Step-by-step explanation:

In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.

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3 years ago

Can anyone do these two<br> a)√3(√3-1)<br> b)√5(√10+√2)

gogolik [260]

A 1.267949192
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2 years ago

A used car lot sold 15 SUVs last month, along with 80 other vehicles. Considering this

sergiy2304 [10]

Answer:

Step-by-step explanation:

First, find the total number of vehicles sold.

15 SUVs were sold, and 80 others were sold

15+80

So, 95 vehicles were sold in total.

Now we can make a proportion

15 out of 95 vehicles were SUVs, and we can expect x out of 76 vehicles to be SUVs

15/95=x/76

Cross multiply

95*x=15*76

95x=1140

To solve for x, we need to get x by itself. Since x is being multiplied by 95, divide both sides by 95. This will cancel out the 95, and leave x isolated.

95x/95=1140/95

x=12

So, 12 out 76 vehicles should be SUVs

7 0

2 years ago