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First Derivative Test for Local Maximum

18. If A and ...

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18. If A and B are roots of acosx - bsinx=c then find tan(A+B) and tan(A+B)

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tan A, tan B

are the roots of the quadratic

a b x^{2} - c^{2} x + a b = 0

a, b, c

are the sides of a triangle, then prove

tan A = \frac{b}{a}

Q. If A and B are acute angles such that

\tan A = \frac{1}{2}, \tan B = \frac{1}{3} and \tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B}

Q. If tan (A − B) =

\frac{1}{\sqrt{3}}

and tan (A + B) =

\sqrt{3}

, 0° < (A + B) < 90° and A > B, then find A and B.

tan (A + B) = \sqrt{3}

tan (A - B) = \frac{1}{\sqrt{3}}

A

B

. A and B are acute angles. Then A+B in degrees

tan (A + B) = \sqrt{3}

tan (A - B) = 1, 0^{o} < A + B < 90^{o}; A > B

A

B

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First Derivative Test for Local Maximum

Standard XII Mathematics

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