Express the following in terms of trigonometric ratios of angles lying between 0 and 45:
$cot 8 5^{0} + cos 7 5^{0}$

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Express the following in terms of trigonometric ratios of angles lying between 0 and 45:

cot 8 5^{0} + cos 7 5^{0}

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Text solutionVerified

We have,

cot (9 0^{0} - θ) = tan θ

and

cos (9 0^{0} - θ) = sin θ

cot 8 5^{0} = cot (9 0^{0} - 5^{0}) = tan 5^{0}

cos 7 5^{0} = cos (9 0^{0} - 1 5^{0}) = sin 1 5^{0}

∴ cot 8 5^{0} + cos 7 5^{0} = tan 5^{0} + sin 1 5^{0}

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Question Text	Express the following in terms of trigonometric ratios of angles lying between 0 and 45: $cot 8 5^{0} + cos 7 5^{0}$
Answer Type	Text solution:1
Upvotes	150