Question

if cos alpha by cos beta is equal to M and cos alpha by sin beta is equal to n and then show that M square + N square cos square Beta is equal to N square

Answer 1

$\frac{ \cos \alpha }{ \cos \beta } = m \\ \frac{ \ \cos \alpha }{ \sin \beta } = n \\ {m }^{2} + {n}^{2} { \cos }^{2} \beta = ( \frac{ { \cos }^{2} \alpha }{ { \cos }^{2} \beta } + \frac{ { \cos }^{2} \alpha }{ { \sin }^{2} \beta } ) { \cos }^{2} \beta \\ = { \cos}^{2} \alpha ( { \sin}^{2} \beta + { \cos \ }^{2} \beta ) \div { \sin }^{2} \beta \\ = { \cos}^{2} \alpha \div { \sin}^{2} \beta \\ = {n }^{2} \\ proved$

Answer 2

Answer:

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Step-by-step explanation: