Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Home / Doubts and Solutions/CBSE/Class 10/Mathematics

Plz help me prove the foloowing trigonometric identities

Asked by sanheeta 31st August 2009, 10:27 PM
Answered by Expert
Answer:

1/ LHS = (cosecA + sinA)(cosecA - sinA)

= (1/sinA + sinA)(1/sinA - sinA)

= [(1 + sin2A)/sinA][(1 - sin2A)/sinA]

= (1 + sin2A)(1 - sin2A)/sin2A

= (1 + sin2A)(cos2A)/sin2A

= cos2A/sin2A + cos2A

= cot2A + cos2A = RHS

2/LHS = secA(1 - sinA)(secA + tanA)

= (secA - secAsinA)(secA + tanA)

= (secA - tanA)(secA + tanA)

= sec2A - tan2A

= sec2A - sec2Asin2A

= sec2A(1 -  sin2A)

= sec2A cos2A

= 1 = RHS.

Regards,

Team,

TopperLearning.

Answered by Expert 31st August 2009, 10:52 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

1/p to the power of left parenthesis n minus m right parenthesis end exponent+1/1 plus p to the power of m minus n right parenthesis end exponent
15th December 2015, 10:13 AM
two vessels A and B contain spirit and water  in the ratio 5/2 and 7/6 respectively.find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8/5
15th December 2015, 10:25 AM
There are 24 teams participating in a math competition from 8 different school, one team per class. The competition is from 8 to 10th class. Find the probability of  
a) Coming 1st from each class per school.
b) Getting a prize if there are three prizes per class, 1,2,3.
15th December 2015, 11:04 AM
1.If the angle of elevation of the a cloud from a point h meter above the lake is alpha and the depression of its reflection in the lake is beta , prove that the height of the cloud is h{1+r/1-r}m , where r=tan alpha/tan beta .
17th December 2015, 9:30 AM
Q
18th December 2015, 8:42 AM
RELATED STUDY RESOURCES :
CBSE Class-10 QUESTION ANSWERS