If cos 0=2/3, what are the values of sin 0 and tan 0?

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

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●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

Step-by-step explanation:

Number of field goals = 51

That is 75% of the total which is x

75% x = 51

75/100 * x = 51     Multiply by 100

75x = 51*100

75x = 5100           Divide by 75

x = 5100/75

x = 68

The total number of kicks was 68