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Trigonometric Ratio(sin,cos,tan)

If sin θ=1/√2...

Question

If $s i n θ = \frac{1}{\sqrt{2}}$ , find all other trigonometric ratios of angle θ

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Solution

$g i v e n sin theta equals fraction numerator 1 over denominator square root of 2 end fraction sin squared theta plus cos squared theta equals 1 1 half plus cos squared theta equals 1 cos squared theta equals 1 half cos theta equals fraction numerator 1 over denominator square root of 2 end fraction tan theta equals fraction numerator sin theta over denominator cos theta end fraction equals fraction numerator begin display style fraction numerator 1 over denominator square root of 2 end fraction end style over denominator begin display style fraction numerator 1 over denominator square root of 2 end fraction end style end fraction equals 1 c o t theta equals fraction numerator 1 over denominator tan theta end fraction equals 1 s e c theta equals fraction numerator 1 over denominator cos theta end fraction equals square root of 2 cos e c theta equals fraction numerator 1 over denominator sin theta end fraction equals square root of 2$

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