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nitthesh7:
i think ur ques is wrong it should be 2sin^2x - 3sinx -4 and not 2sin^2x - 3sinx-1
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Let sinx = n
Then,⇒ 2n² - 3n -1
By Quadratic formula
⇒ -b+√b²-4ac/2a , -b-√b²-4ac/2a
⇒ -(-3) + √(-3)²-4(2)(-1) , -(-3) - √(-3)²-4(2)(-1)
⇒ 3 + √9+8 , 3 - √9+8
⇒ 3 + √17 , 3 - √17
Then sin x = 3+√17 , 3-√17and we cannot find the value of x for the above query.
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But when the ques is 2sin²x - 3sinx +1
Let sinx = n
Then,⇒ 2n² - 3n +1
By Quadratic formula
⇒ -b+√b²-4ac/2a , -b-√b²-4ac/2a
⇒ -(-3) + √(-3)²-4(2)(1) , -(-3) - √(-3)²-4(2)(1)
⇒ 3 + √9-8/2 , 3 - √9-8/2
⇒ 3 + √1/2 , 3 - √1/2
⇒ 4/2 , 2/2
⇒ 2 , 1
Neglecting 2
Then sin x = 1 Then sin x = sin 90°
x = 90°
:) Hope this helps !!!!
Then,⇒ 2n² - 3n -1
By Quadratic formula
⇒ -b+√b²-4ac/2a , -b-√b²-4ac/2a
⇒ -(-3) + √(-3)²-4(2)(-1) , -(-3) - √(-3)²-4(2)(-1)
⇒ 3 + √9+8 , 3 - √9+8
⇒ 3 + √17 , 3 - √17
Then sin x = 3+√17 , 3-√17and we cannot find the value of x for the above query.
=========================================================
But when the ques is 2sin²x - 3sinx +1
Let sinx = n
Then,⇒ 2n² - 3n +1
By Quadratic formula
⇒ -b+√b²-4ac/2a , -b-√b²-4ac/2a
⇒ -(-3) + √(-3)²-4(2)(1) , -(-3) - √(-3)²-4(2)(1)
⇒ 3 + √9-8/2 , 3 - √9-8/2
⇒ 3 + √1/2 , 3 - √1/2
⇒ 4/2 , 2/2
⇒ 2 , 1
Neglecting 2
Then sin x = 1 Then sin x = sin 90°
x = 90°
:) Hope this helps !!!!
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