+91-705-589-3577
FlagBACK
Flag 10 grade maths> tanA+sinA=m, tanA-sinA=n. Then prove that...
question mark

tanA+sinA=m, tanA-sinA=n.
Then prove that, √mn=tanA.sinA

Mahmudul Hasan , 6 Years ago
Grade 12th pass
anser 1 Answers
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
Last Activity: 6 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on 10 grade maths

question mark

How do you find the Maclaurin series for tanx?

10 grade maths
1 Answer Available

Last Activity: 7 Months ago

question mark

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
1 Answer Available

Last Activity: 7 Months ago

question mark

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

10 grade maths
1 Answer Available

Last Activity: 7 Months ago

question mark

Find the arithmetic mean of the first ten odd natural numbers.

10 grade maths
1 Answer Available

Last Activity: 7 Months ago

question mark

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr

10 grade maths
1 Answer Available

Last Activity: 7 Months ago