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If bcosx = a then prove …

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If bcosx = a then prove cosecx + cotx = √ b + a / b - a

Posted by Maths With Monmohan Borah 4 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

P Srinivas 4 years, 8 months ago

Given bcosx=a Cosx=a/b. Equation (1) From identity Sinx=√1-cos²x Sinx=√1-(a/b)² Sinx=√b²-a²/b. Equation (2) Now Cosecx+cotx=1/sinx. + Cosx/sinx =(1+cosx)/sinx From equation (1)&(2) =(1+a/b)÷(√b²-a²)/b =(b+a)÷(√b²-a²) =√(b+a)²÷(√b²-a²) =√(b+a)²/(b²-a²) =√(b+a)(b+a)/(b+a)(b-a) =√(b+a)/(b-a) Hence proved

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If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

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