sin2theta = 1/4 then theta
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actually the answer in infinity
bt lets be simple here
sin 2 theta =1/4
then sin(theta)=+/-1/2
thats 2 values
-30 and 330 degrees
bt lets be simple here
sin 2 theta =1/4
then sin(theta)=+/-1/2
thats 2 values
-30 and 330 degrees
Answered by
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What is x if sin^2x=1/4
assuming there to be x
Sin^2x = 1/4.
=> sinx^2x- 1/4 = 0.
=> sin^x-(1/2)^2 = 0.
=> (sinx+1/2)(sinx-1/2) = 0, as (a^2-b^2 =(a+b)(a-b).
=> (sinx+1/2 = 0, or sinx-1/2 = 0.
sinx+1/2 = 0 gives sinx = -1/2
sinx-1/2=0 gives sinx=1/2
so x lies in
first quadrant then x=30
second quadrant x=150
third quadrant x=210
fourth quadrant x=330
assuming there to be x
Sin^2x = 1/4.
=> sinx^2x- 1/4 = 0.
=> sin^x-(1/2)^2 = 0.
=> (sinx+1/2)(sinx-1/2) = 0, as (a^2-b^2 =(a+b)(a-b).
=> (sinx+1/2 = 0, or sinx-1/2 = 0.
sinx+1/2 = 0 gives sinx = -1/2
sinx-1/2=0 gives sinx=1/2
so x lies in
first quadrant then x=30
second quadrant x=150
third quadrant x=210
fourth quadrant x=330
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