Question

If sin theta= 1/4 and theta is acute, find tan
(pi/2- theta).

Answer 1

3.8723

Explanation:

`sin(\theta) = (1)/(4)`

So
`\theta = sin^(-1)((1)/(4)) = 0.25268` radians or
`14.48^(\circ \:)`

`(\pi)/(2)} \text\;in\;radians=90 ^(\circ)`

`\text{So\;} (\pi)/(2) - \theta = 90 - 14.48 = 75.52^(\circ)`

`\tan((\pi)/(2)-\theta) = \tan(75.52) = 3.8723`