Mathematics: If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).

If sin(t) = 3/5 and t is in the 2nd quadrant, - id35214184426, yudayang2012pa9u8p

Ответ:

gloriuos355

28.08.2021

Cosine is $\frac{hypotenuse}{adjacent}$ .

Apply the equation:

$sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2$

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

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Ответ:

hwk4102

10.06.2022

Mathematics

This is the concept of algebra, we are required to approximate the arcsin of the value given using a calculator;
sin theta=[opposite]/[hypotenuse]
arcsin is the inverse of sin, thus;
arcsin(0.549)=33.2984
the answer is 33.3984°

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If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).

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