WRONG ANSWER (Question:365012.0)

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This topic is not avialable

Janmejay Brishketu

· started a discussion

· 1 Months ago

WRONG ANSWER (Question:365012.0)

Sir at least explain the answer rightly. The Correct Answer should be 3.
Sin^2 + Cos^2 + 2Sin^2= 1+2Sin^2= 1+2= 3

Kausttav Mukherjee

· started a discussion

· 1 Months ago

Wrong answer (Question:365012.0)

Answer should be 3

Shashi Gupta

· started a discussion

· 1 Months ago

wrong answer (Question:365012.0)

answer should be 3, becouse the 1st and 2nd term are independent of angle, and we can put angle 90 in 3rd term. pls check your explanation again.

This topic is not avialable

Pardeep

· started a discussion

· 1 Months ago

Wrong answer (Question:365012.0)

1/2+1/2+1= 2 not 3

MUKESH

· started a discussion

· 1 Months ago

wrong answer (Question: 365012.0 )

please click right answer

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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