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Evaluate sin squared a and cos squared a given cos 2a equals 0.3?
Wiki User
∙ 14y ago
This is geometry/trigonometry, not calculus.
That said, cos 2a = .3
The property you need: cos 2u = 1 - 2sin2u = 2cos2u - 1
Using the first equality:
cos(2a) = 1 - 2sin2a Let u = a
(.3) = 1 - 2sin2a Substitute cos(2a) = .3
.7 = sin2a Subtract .3 from both sides, get rid of negative sign
sin a = .71/2 Square root both sides
a = sin-1 .71/2= .991156 Not a special angle, use calculator.
Wiki User
∙ 14y ago
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