Home
Class 11
MATHS
Prove that:(sinx+sin3x)/(cosx+cos3x)=tan...

Prove that:`(sinx+sin3x)/(cosx+cos3x)=tan2x`

Text Solution

Verified by Experts

LHS `=(sinx+sin3x)/(cosx+cos3x)`
`=(2sin(x+3x)/(2)cos(x-3x)/(2))/(2cos(x+3x)/(2)cos(x-3x)/(2)) = (sin(x+3x)/(2))/(cos(x+3x)/(2))`
`=(sin2x)/(cos2x)=tan2x`=RHS Hence Proved.
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3.4|8 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3.2|10 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that: (sin5x+sin3x)/(cos5x+cos3x)=tan4x

Prove that: (sin5x+sin3x)/(cos5x+cos3x)=t a n4x

Prove that: (sinx-siny)/(cosx+cosy) =tan (x-y)/2

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x

Prove that (sin5x-2sin3x+sinx)/(cos5x-cosx)=tanx

Prove that (sin5x-2sin3x+sinx)/(cos5x-cosx)=cosec2x-cot2x

Prove that: (sinx-sin3x)/(sin^2x-cos^2x)=2sinx

Prove that : (sinx-sin3x)/(sin^(2)x-cos^(2)x) = 2sinx

prove (sinx-siny)/(cosx+cosy)=tan(x-y)/2

Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0