1 year ago

1) Simplify the following expressions: a) sin²108° + sin² 18°

Mathematics

1 answer:

abruzzese [7]1 year ago

8 0

Note that

108° = 90° + 18°

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

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