Question

How can I convert sin(theta) into cos(theta)?

Answer 1

Just use the following formula:

-----------> sin^2(theta) + cos^2(theta) = 1

So, for " cos(theta) = 6/(√60) " therefore: " cos^2(theta) = [6/(√60)]^2 = 36/60 "

Now. sin^2(theta) + cos^2(theta) = 1

So, sin^2(theta) + 36/60 = 1

So, sin^2(theta) = 1 - 36/60 = 60/60 - 36/60 = 24/60 = 2/5

So, sin^2(theta) = 2/5

Therefore: Either: >>>>> sin(theta) = +√(2/5)

..........................Or: >>>>> sin(theta) = -√(2/5)

Hope I helped. :)