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khushboo varshney

· started a discussion

· 1 Months ago

Please Explain (Question: 259990.0 )

Please explain it

Question:

Find the minimum value of 7 tan  θ    + 8 cot  θ    is-

Options:
A)

2 14   

B)

3 14   

C)

4 14   

D)

5 14   

Solution:

Ans: (c)

  

Sunny

· commented

· 1 Months ago

thats an identity

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Steps to find minimum and maximum value-

For a function of one variable, y = f(x), we find the local maxima/minima by differentiation.

Maxima/minima occur when f '(x) = 0 i.e, dy/dx = 0.

x = a is a maximum if f '(a) = 0 and f ''(a) < 0;

x=a is a minimum if f '(a)=0 and f ''(a) > 0;

There are some short trick to find minimum and maximum value for some trigonometric identity.
1) n sin theta / n cos theta = maximum value= +n, minimum value = -n
2) n sin theta cox theta = maximum value= +n/2, minimum value = -n/2
3) a tan^2 teeta +b cot^2 theeta= maximum value= infinity, minimum value =root( ab)

keep learning keep solving
Best wishes
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