Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Evaluate the following : cos 45 ^o / sec 30 ^o plus csc 30 ^o

1.     Evaluate the following :

    (iii)\: \frac{\cos 45^{o}}{\sec 30^{o}+\csc 30^{o}}

Answers (1)

best_answer

\frac{\cos 45^{o}}{\sec 30^{o}+\csc 30^{o}}
we know the value of

 \cos 45 = 1/\sqrt{2} , \sec 30^0 = 2/\sqrt {3} and cosec \:30 =2,

After putting these values 
=\frac{\frac{1}{\sqrt{2}}}{\frac{2}{\sqrt{3}}+2}
=\frac{1/\sqrt{3}}{(2+2\sqrt{3})/ \sqrt{3}}
\\=\frac{\sqrt{3}}{2\sqrt{2}+2\sqrt{6}}\times\frac{2\sqrt{2}-2\sqrt{6}}{2\sqrt{2}-2\sqrt{6}}
\\=\frac{2\sqrt{6}-2\sqrt{18}}{-16}\\ =2\frac{\sqrt{6}-3\sqrt{3}}{-16} = \frac{3\sqrt{3}-\sqrt{6}}{8}

Posted by

manish

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE mandatory 3rd language rule leaves Sanskrit as only R3 option at many pvt English-medium schools
anam-khan

CBSE directs schools to roll out three-language policy’s R3 structure for Class 6 within 7 days
anam-khan

CBSE Result 2026 Date and Time LIVE: Phase 1 Class 10 results expected soon at results.cbse.nic.in

Latest Question