What is the value of
Tan20+2tan50=
Answers
Answered by
55
Tan 70
= Tan (20 + 50)
= Tan 20 + Tan 50 / 1- Tan 20 × Tan 50
Now,
Tan 70 = Tan 20 + Tan 50 / 1- Tan 20× Tan 50
Tan 70 - Tan70.Tan20.Tan50 = Tan20 + Tan50
Tan 70 - Tan 50 = Tan 20 + Tan 50
So Tan 70 = Tan 20 + 2Tan 50
= Tan (20 + 50)
= Tan 20 + Tan 50 / 1- Tan 20 × Tan 50
Now,
Tan 70 = Tan 20 + Tan 50 / 1- Tan 20× Tan 50
Tan 70 - Tan70.Tan20.Tan50 = Tan20 + Tan50
Tan 70 - Tan 50 = Tan 20 + Tan 50
So Tan 70 = Tan 20 + 2Tan 50
Anonymous:
I think it's wrong
Its not wrong
you have t o explain with some working steps...
Can you check now?
My answer is right I believe
Answered by
142
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
= 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
clik on red heart thanks above
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