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IF tan2A = 1 +2 tan2B, then the value of √2 cosA – cosB is.

IF tan2A = 1 +2 tan2B, then the value of √2 cosA – cosB is.

Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
Sincetan²A=1+2tan²B

adding 1 to both sides we get:

1+tan²A=2+2tan²B

⇒sec²A=2sec²B

⇒2cos²A=cos²B

⇒2√cosA=cosB.

Assuming cos(A), cos(B) both ≥ 0. In other words,

2√cosA−cosB=0

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