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Marianna [84]
3 years ago
14

Find sin of theta when you only know cos of theta. You have to use the Pythagorean Identity!

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0

Answer:

second option is the right answer

plz mark brainliest✌️✌️

Sphinxa [80]3 years ago
4 0

Answer:

\huge\boxed{B. \ sin \theta = \frac{\sqrt{35} }{6} }

Step-by-step explanation:

<u>We'll use the following Pythagorean Identity:</u>

cos ^ 2 \theta + sin^2 \theta = 1

Finding sin θ , we'll rearrange the formula as:

sin \theta = \sqrt{1 - cos^2 \theta}

Given that cos θ = - 1 / 6

sin \theta = \sqrt{1 - (-\frac{1}{6} )^2} \\sin \theta = \sqrt{1-\frac{1}{36} } \\sin \theta = \sqrt{\frac{36-1}{36} } \\sin \theta = \sqrt{\frac{35}{36} } \\sin \theta = \frac{\sqrt{35} }{\sqrt{36} }\\  sin \theta = \frac{\sqrt{35} }{6}

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