Question

Use a calculator to approximate acute angle A to the nearest whole degree sin A=0.6 Measure of angle A =

Answer 1

`m \angle A = 37^(\circ)`

Explanation:

Let be
`\sin A = 0.6`, then we must solve for
`A` by means of the following expression:

`A = \sin^(-1) 0.6` (1)

Since it is an inverse trigonometric function, it can be solved only by numerical methods such as application of infinite series such as Taylor series. This approach is used for current scientific calculators. According to scientific calculator we have the following result:

`A = \sin^(-1) 0.6 \approx 36.87^(\circ) \to 37^(\circ)`