Home
Class 12
MATHS
(cos^2 3 3^(@)-cos^2 5 7^@)/(sin2 1^@-co...

`(cos^2 3 3^(@)-cos^2 5 7^@)/(sin2 1^@-cos2 1^@)=`

A

`(1)/(sqrt(2))`

B

`-(1)/(sqrt(2))`

C

`(sqrt(3))/(2)`

D

`-(sqrt(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(cos^(2)33^(@)-cos^(2)57^(@))/(cos 69^(@)-cos 21^(@))`
`=(sin(57^(@)+33^(@))sin(57^(@)-33^(@)))/(-2sin.(69^(@)+212^(@))/(2)sin.(69^(@)-21^(@))/(2))`
`=(sin90^(@)xx sin 24^(@))/(-2sin 45^(@)sin 24^(@))`
`=(1)/(-2xx(1)/(sqrt(2)))=-(1)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

  • VECTOR ALGEBRA

    CENGAGE|Exercise Solved Examples And Exercises|450 Videos

Similar Questions

Explore conceptually related problems

Find the value of ((cos1^(@)+sin1^(@))(cos2^(@)+sin2^(@))(cos3^(@)+sin3^(@))...(cos 45^@sin45^@))/( cos1^(@)cos2^(@)cos3^(@)...cos45^(@))

The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@)) is __________

The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2^@+.....+sin^4 179^@) equals

cos^2 ""(pi)/(8) + cos ^2 ""(3 pi)/(8) + cos ^2 ""(5 pi)/(8) + cos ^2 ""(7 pi)/(8) is

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

cos1^(@)+cos2^(@)cos3^(@)...+cos179^(@)" is "

(sin ^2 3A )/( sin ^2 A ) -( cos^2 3A )/(cos ^2 A ) is

Prove that sin^2 A cos^2 B+cos^2 A sin^2 B+cos^2 A cos^2 B+sin^2 A sin^2 B=1

(1+sin2A-cos2A)/(1+sin2A+cos2A)=tanA