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in Trigonometry by (32.3k points)
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If sec θ = 13/12, find the values of other trigonometric ratios.

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sec θ = 13/12 ....[Given]

We know that,

1 + tan2θ = sec2θ

...[Taking square root of both sides]

We know that, sin2θ + cos2θ = 1

...[Taking square root of both sides]

∴ sin θ = 5/13, cos θ = 12/13, tan θ = 5/12, cot θ = 12/5, cosec θ = 13/5

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