Cot 123° × cot 133° × cot 137° × cot 147° without knowing values?
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cot 123° = -tan33
cot 133 = -tan43
cot 137 = cot43
cot 147 = cot33
cot 123 × cot 133 × cot 137 × cot 147
= -tan33 × -tan43 × cot43 × cot33
= (-1) × (-1)
= 1
===============================
cot 133 = -tan43
cot 137 = cot43
cot 147 = cot33
cot 123 × cot 133 × cot 137 × cot 147
= -tan33 × -tan43 × cot43 × cot33
= (-1) × (-1)
= 1
===============================
rishilaugh:
thanks
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