Question

tan 55°- tan10°- tan50°* tan10° =
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Answer 1

Answer:

1

Step-by-step explanation:

since,tan(45°)= 1

tan(45°)= tan(55°-10°)

now , use formula of tan(A-B) =( tanA-tanB)/(1+tanA + tanB)

1 =( tan(55°) - tan10°)/(1 + tan55° ×tan10°)

on getting cross multiply, we get,

1 + tan55° × tan10° = tan55° -tan10°

tan55 -tan10° - tan55° × tan10° = 1

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