CBSE Class 10CBSE
Share
Notifications

View all notifications

Evaluate the following : (cos 45°)/(sec 30° + cosec 30°) - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Evaluate the following : `(cos 45°)/(sec 30° + cosec 30°)`

Solution

(cos 45°)/(sec 30° + cosec 30°)

`=(1/sqrt2)/(2/sqrt3+2) = (1/sqrt2)/((2+2sqrt3)/sqrt3)`

`= sqrt3/(sqrt2(2+2sqrt3)) = sqrt3/(2sqrt2+2sqrt6)`

`= (sqrt3(2sqrt6-2sqrt2))/(((2sqrt6)+2sqrt2)(2sqrt6-2sqrt2))`

`= (2sqrt3(sqrt6-sqrt2))/((2sqrt6)^2 - (2sqrt2)^2) = (2sqrt3(sqrt6-sqrt2))/(24-8)= (2sqrt3(sqrt6-sqrt2))/16`

`= (sqrt18-sqrt6)/8 = (3sqrt2 - sqrt6)/8`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 8: Introduction to Trigonometry
Ex. 8.20 | Q: 1.3 | Page no. 187
Solution Evaluate the following : (cos 45°)/(sec 30° + cosec 30°) Concept: Trigonometric Ratios of Some Specific Angles.
S
View in app×