A level parametric integration question

You could note that 60sin(t) is a multiple of the derivative of cos(t). This should suggest an integration method.

i tried doing by inspection
i chose to inspect 60sint
i raised it by one power so it’s 60sin^2(t)
after i differentiated that i got 120sintcost but i don’t see how u can divide that by anything to get the original formula of 60sintcos^2(t)
https://imgur.com/a/8eCrxqm

i tried doing by inspection
i chose to inspect 60sint
i raised it by one power so it’s 60sin^2(t)
after i differentiated that i got 120sintcost but i don’t see how u can divide that by anything to get the original formula of 60sintcos^2(t)
https://imgur.com/a/8eCrxqm

nvm i realised u have to inspect cos^2(t) instead 🤦🏽*♀️

Note you could also use integration by parts, although it is one of those tricky ones where it looks as though you're going round in circles.

i think i should stick to this one considering i could barely do this way properly 😭😭😭