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matrenka [14]
3 years ago
8

Why does sin54°≈0.809≈cos36° in a right triangle?

Mathematics
1 answer:
allsm [11]3 years ago
7 0

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

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What are the solutions of quadratic equation 98-x2=0
blsea [12.9K]
Let's solve your equation step-by-step.<span><span>
98−<span>x2</span></span>=0</span>
Step 1: Simplify both sides of the equation.<span><span><span>
−<span>x2</span></span>+98</span>=0</span>
Step 2: Subtract 98 from both sides.<span><span><span><span>
−<span>x2</span></span>+98</span>−98</span>=<span>0−98</span></span><span><span>
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Step 3: Divide both sides by -1.<span><span><span>
−<span>x^2/</span></span><span>1</span></span>=<span><span>−98/</span><span>1</span></span></span><span><span>
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Step 4: Take square root.<span>
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Answer:<span><span>
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4 0
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Answer:

4.

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Step-by-step explanation:

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It can be extended to a lot of terms as well.

We will use this to multiply both of the probelms shown.

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The answer is 4x^4-4x^3-16x^2+16x

4 b)

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The answer is  4x^4-4x^3-16x^2+16x

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