SOLUTION: sin(0) = sqrt(2)/2 let theta be an acute angle of a right triangle. Find the values of the other 5 trigonometric functions of theta.

Question 287719: sin(0) = sqrt(2)/2 let theta be an acute angle of a right triangle. Find the values of the other 5 trigonometric functions of theta.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Let's use x instead of theta.
We have sin(x) = sqrt(2)/2
The right triangle formed by x is "similar" to one with side sqrt(2) and hypotenuse 2.
If the unknown side is y, by the Pythagorean Theorem we have:
y^2 + sqrt(2)^2 = 2^2
y^2 + 2 = 4
y^2 = 2
y = sqrt(2)
The triangle is isoceles.
Now we have the two sides = sqrt(2)) and the hypotenuse = 2, so we can calculate any of the trig functions of the angle. For example, the tangent is sqrt(2)/sqrt(2) = 1.

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