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Nidhish kumar

· started a discussion

· 1 Months ago

wrong answer (Question:365012.0)

at 90 degrees it is 3 i think

This topic is not avialable

ChoCo NuTss

· started a discussion

· 1 Months ago

Wrong answer (Question:365012.0)

Correct answer is 2 (option 4)

Question:

The maximum numerical value of $\frac{1}{1 + c o t^{2} θ} + \frac{1}{1 + t a n^{2} θ} + 2 s i n^{2} θ$ will be:

Options:

A)

5

B)

6

C)

3

D)

2

Solution:

Putting θ = 45⁰ in the given equation, we get

$\frac{1}{1 + c o t^{2} 4 5^{0}} + \frac{1}{1 + t a n^{2} 4 5^{0}} + 2 s i n^{2} 4 5^{0}$

$= \frac{1}{1 + 1} + \frac{1}{1 + 1} + 2 {(\frac{1}{\sqrt{2}})}^{2}$

$= \frac{1}{2} + \frac{1}{2} + 1 = 2$

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