Ask a Question

Prove. Sec2 A + Cosec2 A = Sec2 A Cosec2 A

0 votes
131 views
in maths by (98.9k points)
reopened by

Prove.

\(\sec^2 a + cosec ^ 2 a = Sec^2 a. Cosec^2 a\)

1 Answer

0 votes
by (98.9k points)
selected by
 
Best answer

Proof ::

LHS = sec2 A + cosec2 A 

\(={1\over(cos^2A)}+{1\over(sin^2A)}={(sin^2A+cos^2A)\over(cos^2A sin^2A)}\) 

\(={1\over(cos^2A sin^2A)}=sec^2A cosec^2A=RHS\)

Related questions

0 votes
1 answer 186 views
Find the area of the sector of a circle of radius 8 cm and arc with length 15 cm.
asked Apr 8, 2021 in maths by Doubtly (98.9k points)
+1 vote
1 answer 403 views
Draw a tangent at any point ‘M’ on the circle of radius 3.3 cm and centre ‘O’.
asked Apr 8, 2021 in maths by Doubtly (98.9k points)
+1 vote
1 answer 267 views
The diameter of a sphere is 6 cm. Find the total surface area of the sphere. (p = 3.14)
asked Feb 28, 2021 in maths by Doubtly (98.9k points)

Doubtly is an online community for engineering students, offering:

  • Free viva questions PDFs
  • Previous year question papers (PYQs)
  • Academic doubt solutions
  • Expert-guided solutions

Get the pro version for free by logging in!

Most popular tags

jeemain geography-10th engineering physics semester 5 web computing

5.7k questions

5.1k answers

108 comments

561 users

Doubtly
...