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

Prove that cos`(30^(@) -A ) cos (30^(@) + A ) + cos (45^(@) - A) cos (45^(@) + A) = cos 2A + (1)/(4)`.

Text Solution

Verified by Experts

The correct Answer is:
`cos 2A +1/4`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.7|5 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.8|3 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.5|11 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Prove that cos 20^(@) cos 40^(@) cos 80^(@)=1/8

Prove that cos 20^(@) cos 40^(@) cos 80^(@)=1/8

cos30^(@) =___.

Prove that cos 20^@ cos 40^@ cos 80^(@)=1/8 .

Prove that cos 36^(@) cos 72^(@) cos 108^(@) cos 144^(@)=1//16 .

Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)

Prove that sin (30^(@) + theta) + cos (60^(@) + theta) = cos theta

cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

Prove that cos 2 0^(@)cos4 0^(@)cos6 0^(@)cos8 0^(@)=1/16

Prove that cos (30^(@) + x) = (sqrt(3) cos x - sin x)/(2)