Question
tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ =
?Solution
We know that If tanA × tanB = 1 then A & B are complementary angles it means A + B = 90˚ Here 4˚ + 86˚ = 90˚ & 43˚ + 47˚ = 90˚ So tan 4˚ × tan 86˚ = 1 & tan 43˚ × tan 47˚ = 1 Hence tan 4˚ × tan 43˚ × tan 47˚ × tan 86˚ = 1
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