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BARSIC [14]
2 years ago
5

Given that sinθ=12/13 , what is cosθ ? enter your answer, as a simplified fraction, in the boxes. cosθ=

Mathematics
2 answers:
Elina [12.6K]2 years ago
4 0
I Just Took The Quiz the answer is 5/13
Viefleur [7K]2 years ago
4 0

Use the identity,

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

Here \sin \theta=\frac{12}{13} \\ 1-\sin^2 \theta=1-(\frac{12}{13} )^2\\ \cos^2 \theta=\frac{25}{169} \\ \cos \theta=\pm \sqrt{\frac{25}{169} } \\ \cos \theta=\pm \frac{5}{13}

When \sin \theta is positive \cos \theta can be positive or negative.

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