If A - B - 225- then A-1- A- B-1- B -0

The correct option is B Given A + B = 225^∘⇒ A B 1/ A+ B = 1 ⇒ A B = 1 + A + B ⇒ 2 A B = 1 + A + B + A B ⇒ A/1+ A B/1+ B = 1/2 ...

Trigonometric Ratios of Compound Angles

If A + B = 22...

Question

If A + B = $225^{\circ}$ , then $\frac{cot A}{1 + cot A} . \frac{cot B}{1 + cot B} =$

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Solution

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If $A + B = 225^{\circ}$ ,
then the value of
$\frac{cot A}{1 + cot A} . \frac{cot B}{1 + cot B}$ is

A + B = 225^{o}

\frac{cot A}{1 + cot A} . \frac{cot B}{1 + cot B} =

225^{\circ}

\frac{cot A}{1 + cot A} . \frac{cot B}{1 + cot B} =

[¯ ¯ ¯ a ¯ ¯ b ¯ ¯ c] = 1

\frac{¯ ¯ ¯ a . (¯ ¯ b \times ¯ ¯ c)}{(¯ ¯ c \times ¯ ¯ ¯ a) . ¯ ¯ b} + \frac{¯ ¯ b . (¯ ¯ c \times ¯ ¯ ¯ a)}{(¯ ¯ b \times ¯ ¯ ¯ a) . ¯ ¯ c} + \frac{¯ ¯ c . (¯ ¯ ¯ a \times ¯ ¯ b)}{(¯ ¯ b \times ¯ ¯ c) . ¯ ¯ ¯ a} =

A = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]; B = [\begin{matrix} a & c b & d \end{matrix}]

{(A . B)}^{- 1} = B^{- 1} . A^{- 1}

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