Question

1. use a scientific calculator to find each value to four dec

a) tan 28° b) tan 36°
c) tan 45° d) tan 72°

1. find the measure of each angle a to the nearest degree.

a) tan a = 0.3443 b) tan a = 2.2460
c) tan a = 28.6363 d) tan a = 1.5399
2.4 the tangent ratio

Explanation:

Step1: Use calculator for tangent values

Use a scientific - calculator to find the tangent of the given angles.

Step2: Use inverse - tangent for angle measures

Use the inverse - tangent function ($\tan^{- 1}$) on the calculator to find the angle when the tangent value is given.

Answer:

1.
a) $\tan28^{\circ}\approx0.5317$
b) $\tan36^{\circ}\approx0.7265$
c) $\tan45^{\circ}=1.0000$
d) $\tan72^{\circ}\approx3.0777$
2.
a) $A=\tan^{-1}(0.3443)\approx19^{\circ}$
b) $A=\tan^{-1}(2.2460)\approx66^{\circ}$
c) $A=\tan^{-1}(28.6363)\approx88^{\circ}$
d) $A=\tan^{-1}(1.5399)\approx57^{\circ}$