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If tan θ = 2, find the values of other trigonometric ratios.

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If tan θ = 2, find the values of other trigonometric ratios.

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tan θ = 2 …[Given] 

We know that, 

1 + tan2 θ = sec7 θ 

∴ 1 + (2)7 = sec7 θ 

∴ 1 + 4 = sec7 θ 

∴ sec7 θ = 5 

∴ sec θ = √5  …[Taking square root of both sides]

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