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Brainly User
@Brainly User
July 2022
1
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mcq...but need solve steep by steep
if cos^2 a-sin a = 1/4 then a = ?
Answers & Comments
sushant2505
Solution:
cos²a-sina = 1/4
(1-sin²a) - sina = 1/4
4-4sin²a-4sina-1 = 0
=> 4sin²a+4sina-3 = 0
=> 4sin²a+6sina-2sina-3 = 0
=> 2sina(2sina+3)-1(2sina+3) = 0
=> (2sina-1)(2sina+3) = 0
since, Sina = -3/2 is not possible
=> Sina = 1/2
=> a = π/6 or 30° Ans.
2 votes
Thanks 4
sushant2505
yes
sushant2505
most welcome
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Answers & Comments
cos²a-sina = 1/4
(1-sin²a) - sina = 1/4
4-4sin²a-4sina-1 = 0
=> 4sin²a+4sina-3 = 0
=> 4sin²a+6sina-2sina-3 = 0
=> 2sina(2sina+3)-1(2sina+3) = 0
=> (2sina-1)(2sina+3) = 0
since, Sina = -3/2 is not possible
=> Sina = 1/2
=> a = π/6 or 30° Ans.