In triangle ABC right angled at . B if Sin A =1/2 find all the trigonometric ratios of angle A who will answer first I will mark brainlist please
Answers
Answered by
2
Given that 15sinA=12, so sinA=
15
12
. Let us consider D ABC (see fig), right angled at B, with BC=12 and AC=15. By Pythagoras theorem
AC
2
=AB
2
+BC
2
15
2
=AB
2
+12
2
AB
2
=15
2
−12
2
=225−144=81
∴AB=
81
=9
We now use the three sides to find the six trigonometric ratios of angle A and angle C.
cosA=
AC
AB
=
15
9
=
5
3
sinC=
AC
AB
=
15
9
=
5
3
tanA=
AB
BC
=
9
12
=
3
4
cosC=
AC
BC
=
15
12
=
5
4
cosecA=
BC
AC
=
12
15
=
4
5
tanC=
BC
AB
=
12
9
=
4
3
secA=
AB
AC
=
9
15
=
3
5
cosecC=
AB
AC
=
9
15
=
3
5
cotA=
BC
AB
=
12
9
=
4
3
secC=
BC
AC
=
12
15
=
4
5
cotC=
AB
BC
=
9
12
=
3
4
Answered by
2
if we know the value of sin30 then there is no need of draw a figure .
sin30=1/2
cos A=√3/2
tanA=1/√3
secA=2/√3
cosecA=2
cotA=√3
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