Given that cosθ = - 12/13 and θ is in the second quadrant, find cscθ
Answers
Answered by
1
Cosec=13/5 in 2nd quadrant
Answered by
0
Answer:
Explanation:
sin
2
θ
+
cos
2
θ
=
1
{
Trigonometric fundamental identity
}
sin
2
θ
+
cos
2
θ
=
1
{
Substitute:
cos
θ
=
−
12
13
}
sin
2
θ
+
(
−
12
13
)
2
=
1
sin
2
θ
+
144
169
=
1
sin
2
θ
=
1
−
144
169
sin
2
θ
=
25
169
sin
θ
=
±
5
13
sin
θ
=
5
13
{
θ
is in the second quadrant, the sine is positive
}
csc
θ
=
1
sin
θ
{
Angle Cosecant
}
csc
θ
=
1
5
13
⟹
csc
θ
=
13
5
Therefore, the correct answer is part (b).
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