if sin (36+tita)degree =cos (16+tita)degree,then find tita, where (36+tita)degree and (16+tita)degree are both acute angle
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Dear, there seems to be a mistake in your question.
It is not tita but theta (θ).
Solution:-
sin(36+θ) = cos (16 + θ) is the question.
We know cos A = sin (90-A)
So we can write,
sin (36+θ) = sin{90-(16+θ)}
=> sin(36+θ) = sin(74-θ)
{Deducting sin from both sides, we get}
=> 36 + θ = 74 - θ
=> θ + θ = 74 -36 = 38
=> 2θ = 38
=> θ = 19° (Ans)
Hope it helps (^_^)
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