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Asked Sep 8, 2019
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11
McKTrig8 1.4.033.
Use the equivalent forms of the first Pythagorean identity.
and 0 terminates in QII
2
Find cos 0 if sin 0 =
cos
X
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0/1 points Previous Answers 11 McKTrig8 1.4.033. Use the equivalent forms of the first Pythagorean identity. and 0 terminates in QII 2 Find cos 0 if sin 0 = cos X

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Expert Answer

Step 1

We are given sin θ= 1/2. We can apply sine ratio formula to get the Opposite and Hypotenuse side.

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1 sin o 2 Opposite sin 0 Нурotenuse Therefor Opposite 1 Нурotemuse 2

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Step 2

Now, applying Pythagoran identity .

Where a= Opposite side, b= Adjacent side and c= Hypotenuse of a right triangle.

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a2 bc2 -b2 =C

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Step 3

Substituting the values a=1 and c=2 in Pythgorean identity...

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ab 12 b22 1+b24 Substracting 1 on both sides 1+b2-1=4-1 b2=3 Taking square root on both side, we get b v3

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