Sign of Trigonometric Ratios in Different Quadrants
is value of s...
Question
The value of sin26∘+sin212∘+sin218∘+⋯+sin284∘+sin290∘ is
A
0
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B
7
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C
8
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D
9
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Solution
The correct option is C8 Given, sin26∘+sin212∘+sin218∘+⋯+sin284∘+sin290∘=(sin26∘+sin284∘)+(sin212∘+sin278∘)+(sin218∘+sin272∘)+…+(sin242∘+sin248∘)+sin290∘=(sin26∘+cos26∘)+(sin212∘+cos212∘)+(sin218∘+cos218∘)+…+(sin242∘+cos242∘)+1=7(1)+1=8