3 years ago

If sin(a) = cos(2a), then what is the value of a?

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer:

-90 , 30

Step-by-step explanation:

sina = cos(2a)

= 1 - 2(sina)^2

2(sina)^2 + sina -- 1 = 0

( sina + 1 )( 2sina - 1 ) = 0

sina = -1 or sina = 1/2

=> a = -90 degrees or => a = 30 degrees

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