Sina = 3/5 0 больше a больше pi/2 найти sin2 альфа cos2 альфа tg2 альфа

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Given that sinα = 3/5 and α is greater than π/2, we can find the values of sin^2α, cos^2α, and tan^2α by using the trigonometric identities and relationships.

Since sinα = 3/5, we can use the Pythagorean identity to find cosα:

cos^2α = 1 - sin^2α
cos^2α = 1 - (3/5)^2
cos^2α = 1 - 9/25
cos^2α = 16/25
cosα = √(16/25)
cosα = 4/5

Now, we can find sin^2α and cos^2α:

sin^2α = (3/5)^2
sin^2α = 9/25

cos^2α = (4/5)^2
cos^2α = 16/25

Lastly, we can find tan^2α:

tanα = sinα/cosα
tanα = (3/5) / (4/5)
tanα = 3/4
tan^2α = (3/4)^2
tan^2α = 9/16

Therefore, sin^2α = 9/25, cos^2α = 16/25, and tan^2α = 9/16.