option 1 and 4 are same (Question:363568.0)

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pragyanand

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· 1 Months ago

option 1 and 4 are same (Question:363568.0)

option 1 and 4 are same

Question:

If θ is acute angle and tan θ - cot θ = 0, then what is the value of tan²⁶θ + cot¹⁰⁰θ?

Options:

-2

Solution:

$\begin{matrix} t a n θ - c o t θ = 0 \\ = > t a n θ = c o t θ = \frac{1}{t a n θ} \\ = > t a n^{2} θ = 1 \\ ∴ t a n θ = 1 \\ θ = 4 5^{0} \\ t a n^{26} θ + c o t^{100} θ \\ = 1^{26} + 1^{100} = 2 \end{matrix}$

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option 1 and 4 are same (Question:363568.0)

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