value of tan 70 degrees -tan 20 degrees
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Step-by-step explanation:
70 - 20 = 50 By applying tan on both sides, we get ⇒ Tan ( 70 - 20) = Tan 50 ⇒ (Tan 70 - Tan 20) / ( 1 + Tan 70.Tan 20) = Tan 50 ⇒ (Tan 70 - Tan 20) / ( 1 + Tan 70.Tan (90 -70)) = Tan 50 ⇒ (Tan 70 - Tan 20) / ( 1 + Tan 70.Cot 70) = Tan 50 [ Tan 70.Cot 70 = 1] ⇒ (Tan 70 - Tan 20) / ( 1 + 1) = Tan 50 ⇒ (Tan 70 - Tan 20) = 2Tan 50 ⇒ (Tan 20 - Tan 70) = - 2Tan 50
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