Θ is an acute angle. Find the value of θ in degrees. cos(θ)=0.8?

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Answer 1 · 2018-08-06T23:33:47

#" "#
#color(red)(theta~~36.9^@#

#" "#
Given:

#color(red)(cos(theta)=0.8#

What do we need to do?

We must find the value of #color(blue)(theta)# in degrees.

We are given the ratio of a trigonometric function.

We are asked to find the angle.

We must use the inverse function to find the angle.

If #color(green)(cos(theta)=0.8#, then

#color(green)(theta = cos^(-1)(0.8)#

#rArr theta ~~ 36.86989765#

#color(red)(theta~~36.9^@#

And, we note that the angle is acute.

Hope it helps.