Question

7.) Solve. Use the calculator set for degrees. Round answers to 4 decimal places.

Find sin 45° using 15° and 30°
a.) 0.9659
b.) 0.8660
c.) 0.4830
d.) 0.2241
e.) 0.7071

Answer 1

The answer to your question is sin 45° = 0.6494

Explanation:

Data

sin 45° = ?

Process

Formula

sin (15 + 30) = sin (15)cos(30) + cos(15)sin(30)

sin 15 = 0.2334

sin 30 = 0.4540

cos 15 = 0.9723

cos 30 = 0.8910

Substitution

sin(15 + 30) = (0.2334)(0.8910) + (0.9723)(0.4540)

= 0.2080 + 0.4414

= 0.6494

None of the options