If sino + cosecӨ = 2 then sin2Ө + cosec2Ө =
(A) 1
(B) 4
(C) 2
(D) ½
Answers
Answered by
10
Hey mate... ♥
sin A + cosec A = 2
Squaring this on both sides, we get
sin^2A + cosec^2A + 2 sinA cosecA = 4
sin^2A + cosec^2A = 4 - 2 sinAcosecA
But we know that
cosec A = 1/sinA
so we get sinA cosecA = sinA * 1/sinA = 1
so we get
sin^2A + cosec^2A = 4 -2 = 2
sin^2A + cosec^2A = 2 ---------------->ANSWER
Hence, option [C ] is correct...
HOPE IT HELPS... ♡
sin A + cosec A = 2
Squaring this on both sides, we get
sin^2A + cosec^2A + 2 sinA cosecA = 4
sin^2A + cosec^2A = 4 - 2 sinAcosecA
But we know that
cosec A = 1/sinA
so we get sinA cosecA = sinA * 1/sinA = 1
so we get
sin^2A + cosec^2A = 4 -2 = 2
sin^2A + cosec^2A = 2 ---------------->ANSWER
Hence, option [C ] is correct...
HOPE IT HELPS... ♡
Answered by
0
Here is Your Answer
Quetion :- If sino + cosecӨ = 2 then sin2Ө + cosec2Ө =
Answer :- 2
Hope it Heplfull Answer
Similar questions
Social Sciences,
6 months ago
English,
6 months ago
Math,
6 months ago
Social Sciences,
1 year ago
Math,
1 year ago