Given sin30=1/2, use trig identies to find the exact value of a. cos60 b. cos^230 c. csc pie/6 d. sec pie/3
it has nothing to do with what sine is \[\cos(60^\circ)=\frac{1}{2}\]
look at the unit circle on the last page of the attached cheat sheet from that you can evaluate all the above trig functions
All of the trig ratios are inextricably linked. That's how the trig identities were developed. So, yes, cos 60 can be related to sin 30. And a cheat sheet doesn't help anyone understand the relationships between the trig ratios. The identity required in this case is\[\cos \theta = \sin \left( 90- \theta \right)\]
How would I find \[\cos^230\]
\[\cos ^2 30 = \cos30 \times \cos 30\]So if you apply the above identity twice you should be able to get the answer.
Join our real-time social learning platform and learn together with your friends!