91Ó°ÊÓ

Find the exact value (no decimals) of the given expression. Note that the expression \(\sin ^{2} \theta\) means \((\sin \theta)^{2}\) and similarly for other functions. You may check your answers using your calculator. $$\cot ^{2} 30^{\circ}$$

Pattern in sine Values Problem: Find the exact values of \(\sin 0^{\circ}, \sin 30^{\circ}, \sin 45^{\circ}, \sin 60^{\circ},\) and \(\sin 90^{\circ} .\) Make all the denominators equal to 2 and all the numerators radicals. Describe the pattern you see.