Evaluate the following, looking for trends:
1) \(\sin^2\left(30^{\circ}\right)+\cos^2\left(30^{\circ}\right)\)
2) \(\sin^2\left(45^{\circ}\right)+\cos^2\left(45^{\circ}\right)\)
3) \(\sin^2\left(60^{\circ}\right)+\cos^2\left(60^{\circ}\right)\)
4) \(\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\)
5) \(\sec^2\left(32^{\circ}\right)-\tan^2\left(32^{\circ}\right)\)
6) \(\sec^2\left(85^{\circ}\right)-\tan^2\left(85^{\circ}\right)\)
7) \(\sec^2\left(1^{\circ}\right)-\tan^2\left(1^{\circ}\right)\)
8) \(\sec^2\left(\theta\right)-\tan^2\left(\theta\right)\)
9) \(\sin\left(30^{\circ}\right)\ \text{and}\ \cos\left(60^{\circ}\right)\)
10) \(\sin\left(20^{\circ}\right)\ \text{and}\ \cos\left(70^{\circ}\right)\)
11) \(\sin\left(55^{\circ}\right)\ \text{and}\ \cos\left(35^{\circ}\right)\)
12) \(\sin\left(\theta\right)\ \text{and}\ \cos\left(90^{\circ}-\theta\right)\)
1) \(\sin^2\left(30^{\circ}\right)+\cos^2\left(30^{\circ}\right)\)
2) \(\sin^2\left(45^{\circ}\right)+\cos^2\left(45^{\circ}\right)\)
3) \(\sin^2\left(60^{\circ}\right)+\cos^2\left(60^{\circ}\right)\)
4) \(\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\)
5) \(\sec^2\left(32^{\circ}\right)-\tan^2\left(32^{\circ}\right)\)
6) \(\sec^2\left(85^{\circ}\right)-\tan^2\left(85^{\circ}\right)\)
7) \(\sec^2\left(1^{\circ}\right)-\tan^2\left(1^{\circ}\right)\)
8) \(\sec^2\left(\theta\right)-\tan^2\left(\theta\right)\)
9) \(\sin\left(30^{\circ}\right)\ \text{and}\ \cos\left(60^{\circ}\right)\)
10) \(\sin\left(20^{\circ}\right)\ \text{and}\ \cos\left(70^{\circ}\right)\)
11) \(\sin\left(55^{\circ}\right)\ \text{and}\ \cos\left(35^{\circ}\right)\)
12) \(\sin\left(\theta\right)\ \text{and}\ \cos\left(90^{\circ}-\theta\right)\)