ha right angle triangle ABC, right angle is at B. If tanA =√3 then find the value of
i)sinA cosC+cosA sinC
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Answer:
Answer
Given that
tanA=
1
3
AC=
(
3
)
2
+1
2
=
3+1
=
4
=2
now
(i)sinAcosC+cosAsinC
=
2
3
×
2
3
+
2
1
×
2
1
=
4
3
+
4
1
=
4
4
=1
and
(ii)cosAcosC−sinAsinC
=
2
1
×
2
3
−
2
1
×
2
3
=
4
3
−
4
3
=0
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