7. Find the value of: *
(2 Points)
tan 10 tan 20" tan 30° tan 40" tan 50" tan 70° tan 80%
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Step-by-step explanation:
tan10×tan20×tan30×tan40×tan50×tan70×tan80
tan theta= cot( 90- theta) tan30=1/root3
tan10×tan20×1/root3 × tan40×cot(90-50)×cot(90-70)×cot(90-80)
tan10×tan20×1/root3×tan40×cot40×cot20×cot10
cot theta= 1/tan theta
tan10× tan20×1/root3×tan40×1/tan40×1/tan20×1/tan10
1/root3
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