CBSE Class 10CBSE
Share
Notifications

View all notifications

Evaluate the Following `Cot^2 30^@ - 2 Cos^2 60^2 - 3/4 Sec^2 45^@ - 4 Sec^2 30^@` - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Evaluate the Following

`cot^2 30^@ - 2 cos^2 60^2 - 3/4 sec^2 45^@ - 4 sec^2 30^@`

Solution

`cot^2 30^@ - 2 cos^2 60^2 - 3/4 sec^2 45^@ - 4 sec^2 30^@`  ......(1)

By trigonometric ratios we have

`cot 30^@ = sqrt3   cos 60^@ = 1/2  sec 45^@ = sqrt2   sec 30^@ = 2/sqrt3`

By trigonometric ratios we have

`(sqrt3)^2 - 2[1/2]^2 - 3/4 (sqrt2)^2 - 4[2/sqrt3]^2`

`3 - 2 . 1/4 - 3/4 . 2 - 4 . 4/3`

`3 - 1/2 - 3/2 - 8/3 => -5/3`

 

  Is there an error in this question or solution?

APPEARS IN

Solution Evaluate the Following `Cot^2 30^@ - 2 Cos^2 60^2 - 3/4 Sec^2 45^@ - 4 Sec^2 30^@` Concept: Trigonometric Ratios.
S
View in app×