Tan40 + tan20 / 1 - cot70 cot50
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(tan40° + tan20°) ÷ (1—cot70° cot50°)
= (tan40° + tan20°) ÷ {1—cot(90°—20°) cot(90°—40°)}
= (tan40° + tan20°) ÷ (1—tan20° tan40°)
= tan(40° + 20°)
= tan60°
=sqrt(3)
= (tan40° + tan20°) ÷ {1—cot(90°—20°) cot(90°—40°)}
= (tan40° + tan20°) ÷ (1—tan20° tan40°)
= tan(40° + 20°)
= tan60°
=sqrt(3)
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