Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
1 answer:
The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13
<h3>How to work with Pythagoras Theorem?</h3>
From the definitions of trigonometric ratios, we know that;
sin x = opposite leg/hypotenuse
cos y = adjacent leg/hypotenuse
From the Pythagorean theorem, we can find the hypotenuse as;
6² + 8² = hypotenuse²
The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13
Read more about Pythagoras Theorem at; brainly.com/question/27572671
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We can identify that the missing reason in the proof is: Definition of Congruent angles.
<h3>How to give proof of a congruent triangle?</h3>We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.
We also see that ∠ADB is also a right angle and is equal to 90°.
Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:
∠ABC ≅ ∠ABD
Thus, we can identify that the missing reason is: Definition of Congruent angles.
Read more about Triangle proof at; brainly.com/question/1248322
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