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The minimum value of the function f(x)=(...

The minimum value of the function `f(x)=(sinx)/(sqrt(1-cos^2x))+(cosx)/(sqrt(1-sin^2x))+(tanx)/(sqrt(sec^2x-1))+(cotx)/(sqrt(c o s e c^2x-1))`whenever it is defined is

A

4

B

`-2`

C

0

D

2

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The correct Answer is:
B
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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. Which of the following is correct ?

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  2. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

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  3. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

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  4. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

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  5. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

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  6. A man observe that was he has climbed up 1/3 of the length of an incli...

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  7. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

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  8. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

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  9. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

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  10. The range of f(x) = cos x - sin x is

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  11. If P is a point on the altitude AD of the triangle ABC such the /C B P...

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  12. From the top of a cliff 50 m high, the angles of depression of the top...

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  13. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

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  14. What is the value of sin((5pi)/(12))?

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  15. General solution of the equation tanthetatan2theta=1 is given by

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  16. The minimum value of the function f(x)=(sinx)/(sqrt(1-cos^2x))+(cosx)/...

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  17. The value of cosec 430 ^(@) + sqrt3 sec 470^(@) is :

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  18. In a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle...

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  19. If tan theta =-4/3, then sin theta is

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  20. Given that (1+sqrt(1+y))tan y = 1+sqrt(1-y) Then sin 4y is equal to: ...

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