Home
Class 14
MATHS
Find the value of following expressions ...

Find the value of following expressions :
(i) `sec^(2)60^(@)cos^(2)45^(@)-cosec^(2)30^(@)`
(ii) `(tan45^(@)cot^(2)60^(@)+tan^(2)30^(@)cot45^(@))/(sin30^(@)+cos60^(@))`

Text Solution

Verified by Experts

The correct Answer is:
(1) `4=-2`
(ii) `(2)/(3)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10A|60 Videos

  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10B|10 Videos

  • QUADRILATERAL

    LUCENT PUBLICATION|Exercise Exercise 7B|6 Videos

Similar Questions

Explore conceptually related problems

sin^(2) 60^(@) + 2 tan 45^(@) - cos^(2) 30^(@)

Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))

cos^(2)0^@-2cot^(2)30^(@)+3cosec^(2)90^(@)=2(sec^(2)45^(@)-tan^(2)60)

If x sin45^(@)cos^(2)(60^(@))=(tan^(2)(60^(@))cos es0^(@))/(sec45^(@)cot^(2)(30^(@)))

Prove that: (i) cos^(2)30^(@),cos^(2)45^(@),cos^(2)60^(@) are in A.P. (ii) cot^(2)30^(@),cot^(2)45^(@),cot^(2)60^(@) are in G.P.

If x sin 45^(@) cos^(2)60^(@)=(tan^(2)60^(@) cosec 30^(@))/(sec 45^(@) cot^(2) 30^(@)) then x

Evaluate each of the following : (sin^(2)+30^(@)+4cot^(2)45^(@)-sec^(2)60^(@))(cosec^(2)45^(@)sec^(2)30^(@))

Evaluate : (i) sin60^(@)*cos30^(@)-cos60^(@)*sin30^(@) (ii) tan30^(@)*cosec60^(@)+tan60^(@)*sec30^(@) .