If tan theta is equal to root 2 minus 1 prove that sin theta into cos theta is equal to 1 by 2 root 2
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Answer:
Solution : -
tanA=
2
−1
we know tanA=
B
P
=
1
2
−1
∴H=
(
2
−1)
2
+1
2
=
4−2
2
∴sinA=
4−2
2
2
−1
cosA=
4−2
2
1
∴sinAcosA=
4
−2
2
2
−1
×
4−2
2
1
=
4−2
2
2
−1
=
4−2
2
2
−1
×
4+2
2
4+2
2
=
16−8
4
2
+4−4−2
2
=
8
2
2
=
4
2
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