Question

find principal solution of sin theta = 1/2

Answer 1

Answer:

The principal solutions of equation sin θ = are - 1 2 are 7 π 6 , 11 π 6 .

Answer 2

Answer: The fundamental answer is the trigonometry angle solution in [0,2].

So there are two main answers (+/6 ) and (2-/6 )= 7/6 and 11/ 6.

​Step-by-step explanation: The given equation is: sin x = 1/ 2  sin x = sin π/ 6

Consequently, π /6 is one of the equation's main solutions.

Additionally, sin x = sin ( π- x )

Consequently, sin π / 6 = sin (π -π /6 )

Alternately, sin π /6 equals sin 5π / 6

Therefore, 5π / 6 is the other fundamental answer to the problem.

The primary answer that is less than π/2 is π/6.

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