Home
Class 11
MATHS
Prove that: (cos(60^(@)-A)+sin(30^(@)-...

Prove that:
`(cos(60^(@)-A)+sin(30^(@)-A))/(cos(30^(@)-A)-sin(60^(@)-A))= cotA`

Text Solution

AI Generated Solution

To prove the equation \[ \frac{\cos(60^\circ - A) + \sin(30^\circ - A)}{\cos(30^\circ - A) - \sin(60^\circ - A)} = \cot A, \] we will start with the left-hand side (LHS) and simplify it step by step. ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that : cos^(2)30^(@)-sin^(2)30^(@)=cos60^(@)

Prove that : cos^(2)30^(@)-sin^(2)30^(@)=cos60^(@)

Prove that : cos30^(@).cos60^(@)-sin30^(@).sin60^(@)=0

Prove that : cos30^(@).cos60^(@)-sin30^(@).sin60^(@)=0

Show that : cos^(2)60^(@)-sin^(2)60^(@)=-sin30^(@)

Prove that : sin60^(@)=2sin30^(@)cos30^(@) .

Prove that : sin60^(@)=2sin30^(@)cos30^(@) .

Prove that : ((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos30^(@))

Prove that : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

Prove that : sin60^(@)cos30^(@)+cos60^(@).sin30^(@)=1