Find the exact value of 75 (degrees); leave answer in simplest radical form. Enter terms under the radical in number order.

sin 75 = sin (45 + 30) =

Question

Hill

Mathematics

6 October, 09:07

Find the exact value of 75 (degrees); leave answer in simplest radical form. Enter terms under the radical in number order.

sin 75 = sin (45 + 30) =

+3

Answers (1)

Know the Answer?

Ford · Answer 1

sin75º=sin (30) º+45º)

=sin 30 cos 45+cos 30 sin 45

=1/2*√2/2+√3/2*√2/2

=√2/4+√6/4

= (√2+√6) / 4

Check with calculator:

sin 75º≈0.9659

exact value = (√2+√6) / 4≈0.9659

Find the exact value of 75 (degrees); leave answer in simplest radical form. Enter terms under the radical in number order.sin 75 = sin (45 + 30) =

Find the exact value of 75 (degrees); leave answer in simplest radical form. Enter terms under the radical in number order.

sin 75 = sin (45 + 30) =