Asked by AlphaPrimes
Simplify (1+tanx)^2
The answer is (1-sinx)(1+sinx)
Here's what I do:
1 + 2tanx + tan^2x
When I simplify it becomes
1 + 2(sinx/cosx) + (1+secx)(1-secx)
What am I doing wrong?
The answer is (1-sinx)(1+sinx)
Here's what I do:
1 + 2tanx + tan^2x
When I simplify it becomes
1 + 2(sinx/cosx) + (1+secx)(1-secx)
What am I doing wrong?
Answers
Answered by
Reiny
(1+tanx)^2 ≠ (1-sinx)(1+sinx)
RS = 1 - sin^2 x
= cos^2 x
and cos^2 x is certainly not equal to (1+tanx)^2
try x = 45°
(1+tan45)^2 = (1+1)^2 = 4
cos^2 (45°) = (1/√2)^2 = 1/4
no wonder you got nowhere with your work.
check the question, or check your typing.
RS = 1 - sin^2 x
= cos^2 x
and cos^2 x is certainly not equal to (1+tanx)^2
try x = 45°
(1+tan45)^2 = (1+1)^2 = 4
cos^2 (45°) = (1/√2)^2 = 1/4
no wonder you got nowhere with your work.
check the question, or check your typing.
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