Grade 12th pass10 grade maths
tanA+sinA=m, tanA-sinA=n.Then prove that, √mn=tanA.sinA
tanA+sinA=m, tanA-sinA=n.
Then prove that, √mn=tanA.sinA
1 Answer
Niranjan Pandey of Cambridge
A/q mn= (tanA+sinA)(tanA-sinA)
=tan2A-sinAtanA+sinAtanA-sin2A
=tan2A-sin2A
=(tanA+sinA)(tanA-sinA)
=(sinA/cosA + sinA)(sinA/cosA – sinA)
={(sinA+sinAcosA)/cosA}{(sinA-sinAcosA)/cosA}
={sinA(1+ cosA)/cosA}{sinA(1- cosA)/cosA}
={sin2A(1-cosA2)}/cos2A
={sin2A(sin2A)}/cos2A
√mn =sinAsinA/cosA
=sinA*sinA/cosA
=sinA*tanA
=tanAsinA
Other Related Questions on 10 grade maths
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)
10 grade maths
Last Activity: 1 Year ago
The smallest composite number is ______.
(a) 2
(b) 4
(c) 1
(d) None of these
The smallest composite number is ______.
(a) 2
(b) 4
(c) 1
(d) None of these
10 grade maths
Last Activity: 1 Year ago
Find the arithmetic mean of the first ten odd natural numbers.
Find the arithmetic mean of the first ten odd natural numbers.
10 grade maths
Last Activity: 1 Year ago