if tanA +1/tanA=2 show that tan^2A+1/tan^2A=2
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Answered by
1
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Step-by-step explanation:
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Answered by
3
Answer:
tanA= 2 −1
tanA=
AB
BC = 12−1 AC 2
=BA 2
+BC 2 =1 2 +( 2 −1) 2
=1+2−2 2 +1
AC= 4−2 +2
sinA=
AC
BC
=
4−22
2 −1
cosA=
AC
AB =
4−2 2
1 sinA×cosA=
4−2
2
2
−1
×
4−2
21
= 4−22
2 −1
= 22
( 2 −1)2 −1
=2
2
1 × 2
2
=42
cosA× cosA
sinA×cosA
= 42
Multiply numerator & denominator by cosA
sec 2A
tanA
= 42⇒
1+tan
2
A
tanA
= 42
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