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Find the values of theta ,Θ that satisfy the equation. 2cot 2 Θ = 4 - cosecΘ, for values of 180 degrees Thanks, Vishnu

Find the values of theta ,Θ that satisfy the equation. 2cot2Θ = 4 - cosecΘ, for values of 180 degrees < Θ < 360 degrees


Thanks,


Vishnu

Grade:10

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

Deer Vishnu

2cot2Θ = 4 - cosecΘ

or 2 cosec2Θ +CosecΘ -6 =0

which gives

CosecΘ =-2 and 3/2

but for 180<Θ<360

cosecΘ is negative

so CosecΘ=-2

SinΘ =-1/2

Θ =210 and 330  degree

Regards

Badiuddin

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