Evaluate- A - 1 B - 1 - 2 if A - B - - 4

(A + B) = A B 1 A + B = 1 #160; #160; {∵ (π/4) = 1} A B 1 = A + B A + B A B 1 = 1 1 (1 A) (1 B) = 2 ...

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Conditional Identities

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Evaluate: $(cot A - 1) (cot B - 1) = 2 if A + B = \frac{π}{4}$

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Evaluate tan^-1(a - b)/(1+ab)+ tan^-1(b - c)/(1+bc)+ tan^-1(c - a)/(1+cb) ; ab,bc,ac>-1

f (x) = \frac{\tan (\frac{π}{4} - x)}{\cot 2 x}, x \neq \frac{π}{4} .

x = \frac{π}{4},

A - B = \frac{π}{4},

A + B = \frac{π}{4},

\tan A = \frac{5}{6} and \tan B = \frac{1}{11}

A + B = \frac{π}{4}

\tan A = \frac{m}{m - 1} and \tan B = \frac{1}{2 m - 1}

A - B = \frac{π}{4}

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