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taurus [48]
3 years ago
10

PLEASE HELP THIS IS A QUESTION OF LIFE OR DEATH

Mathematics
2 answers:
maksim [4K]3 years ago
7 0

Answer:

The third option is the correct answer.

Step-by-step explanation:

The triangles are reflected across the line y = x

When a triangle is reflected across the line y = x, this means that the x-coordinate and y-coordinate have changed their places. We must know that each point of a reflected image and the original image are at the same distance from the the line of reflection.

den301095 [7]3 years ago
4 0
C because the x-axis and the y-axis are switched, basically.
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Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

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  • cosecant (cosec/csc) = hypotenuse/opposite
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Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

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Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

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Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

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\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

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  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
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  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

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