3 years ago

I need help.... please help

Mathematics

2 answers:

vredina [299]3 years ago

5 0

The answer it will be B

geniusboy [140]3 years ago

3 0

B is the answer to the question.

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If (sin(()−1))p =2cos(()−1)q , show that p^2 =4q^2 (1− q^2) ?.

Papessa [141]

Likely the equation is

$\sin^{-1}p=2\cos^{-1}q$

For either side to be defined, we require $|p|\le1$ and $|q|\le1$ . Under these conditions, we can take

$\sin(\sin^{1}p)=\sin(2\cos^{-1}q)$
$\implies p=2\sin(\cos^{-1}q)\cos(\cos^{-1}q)$
$\implies p=2q\sin(\cos^{-1}q)$
$\implies p=2q\sqrt{1-q^2}$
$\implies p^2=4q^2(1-q^2)$

as required.

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4 years ago

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4 years ago

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mamaluj [8]

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