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25-05-2018
Mathematics

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Verify the identity. Justify each step.

Verify the identity Justify each step class=

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Matheng Matheng

25-05-2018

From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

∴ tan θ + cot θ = (sin θ) / (cos θ) + (cos θ) / (sin θ)
= [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )

note : sin² θ + cos² θ = 1

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