Approximate, to the nearest 0.01 radian, all angles theta in the interval [0,2pi) that satisfy the equation.

a.) sin theta=-0.0135

b.) cot theta=-2.731

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1 answer

Review the idea of reference angles, which are always in QI.

sin 0.0135 = 0.0135
That is the angle in QI.
But sin is negative in QIII and QIV. So we have
π+0.0135 and 2π-0.0135

cot 0.351 = 2.731
But, cot is negative in QII and QIV, so we have

π-0.351 and 2π-0.351