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What is the value of
sin210∘+sin220∘+sin230∘+sin240∘+sin250∘+sin260∘+sin270∘+sin280∘? \sin ^2 10 ^ \circ + \sin ^2 20 ^ \circ + \sin ^2 30 ^ \circ + \sin ^2 40 ^ \circ + \sin ^2 50 ^ \circ + \sin ^2 60 ^ \circ + \sin ^2 70 ^ \circ + \sin ^2 80 ^ \circ ? sin210∘+sin220∘+sin230∘+sin240∘+sin250∘+sin260∘+sin270∘+sin280∘?
If sinθ+cosθ=12 \sin \theta+ \cos \theta = \frac {1}{2} sinθ+cosθ=21, what is the value of sinθcosθ \sin \theta \cos \theta sinθcosθ?
If sinθ+cosθ=12 \sin \theta+ \cos \theta = \frac {1}{2} sinθ+cosθ=21, what is the value of sinθ−cosθ \sin \theta-\cos \theta sinθ−cosθ?
If sinθ+cosθ=12 \sin \theta+ \cos \theta = \frac {1}{2} sinθ+cosθ=21, what is the value of tanθ+cotθ \tan \theta+\cot \theta tanθ+cotθ?
If tanθ+cotθ=3 \tan \theta+ \cot \theta = 3 tanθ+cotθ=3, what is the value of sinθcosθ \sin \theta\cos \theta sinθcosθ?
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