tan20 + 2tan50 is equal to ????
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2
Answer:
2.74
Step-by-step explanation:
tan 20 + 2 * tan 50
= tan 20 + 2 cot (90 - 50)
= tan 20 + 2 cot 40
= tan 20 + 2 / tan 40
= tan 20 + 2 / tan(2*20)
= tan 20 + 2 [1 - tan² 20] / [2 tan 20]
= (tan² 20 + 1 - tan² 20) / tan 20
= cot 20 = tan 70
= 2.74
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