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Solve the 7th problem in the above image which I have provided

Solve the 7th problem in the above image which I have provided

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Grade:12th Pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
x sec @ + y cosec @ = a
x sin @ + y cos @ = a sin@ cos @
 
p = | 0 + 0 – a sin@ cos @ |/ sqrt(sin^2@ + cos^2@)
 
Hence
 
4p^2 = 4* a^2 sin^2 @ cos^2 @ / (sin^2@ + cos^2@)
 
 
Now
p’ = |0 – 0 – a cos2@| / sqrt(cos^2 @ + sin^2 @)
 
(p’)^2 = a^2 * co^2 (2@) / (cos^2 @ + sin^2 @)
 
Now
 
4p^2 + p’^2 = a^2 sin^2 2@ + a^2 cos^2 2@
 
 = a^2
 
Hence proved

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