1.

If tanθ + cotθ = 2 and θ is acute, then the value of tan100θ + cot100θ is equal to:

Answer» Correct Answer - Option 3 : 2

Given:

tanθ + cotθ = 2

Calculation:

Put the value of θ = 45o, tan45o = 1, and cot45o = 1

Then, tanθ + cotθ = 2

⇒ tan45o + cot45o = 2

⇒ 1 + 1 = 2

putting the value θ = 45 in tan100θ + cot100θ

⇒ tan10045 + cot10045 

⇒ 1100 + 1100

⇒ 2

∴ The value of tan100θ + cot100θ is 2.



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