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
Your answer has been posted successfully!
RELATED STUDY RESOURCES :
- CBSE Sample Papers for Class 10 Mathematics
- R S Aggarwal and V Aggarwal Textbook Solutions for Class 10 Mathematics
- RD Sharma Textbook Solutions for Class 10 Mathematics
- NCERT Textbook Solutions for Class 10 Mathematics
- CBSE Syllabus for Class 10 Mathematics
- CBSE Previous year papers with Solutions Class 10 Mathematics
Browse free questions and answers by Chapters
- 1 Pair of Linear Equations in 2 Variables
- 2 Quadratic Equations
- 3 Arithmetic Progression
- 4 Triangles
- 5 Some Applications of Trigonometry
- 6 Polynomials
- 7 Coordinate Geometry
- 8 Introduction to Trigonometry
- 9 Circles
- 10 Constructions
- 11 Areas Related to Circles
- 12 Surface Areas and Volumes
- 13 Statistics
- 14 Probability
- 15 Real Numbers
Trending Tags
Latest Questions
ICSE IX History and Civics
Asked by harshsushilpatel1100
19th August 2018,
2:23 AM
ICSE IX History and Civics
Asked by harshsushilpatel1100
19th August 2018,
2:21 AM
CBSE XII Humanities History
Asked by Astrorajat9
19th August 2018,
1:42 AM
