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Tutor profile: Rahul J.

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Rahul J.
Tutor for 5 years
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Questions

Subject: Trigonometry

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Question:

F(x) = sec^{2}x -tan^{2}x and g(x)= 1, Tell whether they are identical.

Inactive
Rahul J.
Answer:

No, they are not identcial. Since Secx and Tanx are not defined for x=(2n+1)\pi/2 so domain of f(x) is R-(2n+1)\pi/2 while domain of g(x) is R. Since domains are different therefore they can never be identical.

Subject: Calculus

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Question:

Derivative of an Even differentiable function will be Odd. True/False

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Rahul J.
Answer:

True. For function to be even f(-x) = f(x), now differentiate it, f'(-x) = -f'(x) which shows f' is odd.

Subject: Algebra

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Question:

Is it necessary for numbers to be prime for them to be Co-prime?

Inactive
Rahul J.
Answer:

Two natural numbers having their H.C.F 1 are said to be Co-prime. So, for numbers to be co-prime they must be natural. eg. 1 is co prime with every other natural number but 1 is not prime.

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