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Sonbull [250]
3 years ago
5

Solve for theta in the interval 0<theta<2pi.     cos(theta)sin(theta)-0.5 cos(theta)=0

Mathematics
2 answers:
Setler [38]3 years ago
5 0
Heya !

According to the question ,
cosθ.sinθ - 0.5 cosθ = 0 

--> cosθ.( sinθ - 0.5 ) = 0

Now ,
Either cosθ = 0  or sinθ = 1/2  

Case 1 : cosθ = 0 
Therefore , θ=π/2,3π/2 Ans.

Case 2 : sinθ = 1/2 
Therefore , θ=π/6, 5π/6 Ans.
riadik2000 [5.3K]3 years ago
4 0
CosOsinO - 0.5 cosO = 0

cosO(sinO - 0.5) = 0

so cosO = 0 ,  sin O = 0.5

cosO = 0  gives O = pi/2 , 3pi/2
sinO = 0.5  gives O = pi/6, 5pi/6.
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