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S2ru
17.03.2021 •
Mathematics
Z = -3 is what percentile?
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Ответ:
percentile would be -.03
Ответ:
tan²(θ) - sin²(θ) = sin²(θ)/cos²(θ) - sin²(θ)
-- because tan(θ) = sin(θ)/cos(θ) by definition of tangent --
… = sin²(θ) (1/cos²(θ) - 1)
-- we pull out the common factor of sin²(θ) from both terms --
… = sin²(θ) (1/cos²(θ) - cos²(θ)/cos²(θ))
-- because x/x = 1 (so long as x ≠ 0) --
… = sin²(θ) ((1 - cos²(θ))/cos²(θ))
-- we simply combine the fractions, which we can do because of the common denominator of cos²(θ) --
… = sin²(θ) (sin²(θ)/cos²(θ))
-- due to the Pythagorean identity, sin²(θ) + cos²(θ) = 1 --
… = sin²(θ) tan²(θ)
-- again, by definition of tan(θ) --