If sin a =3/5 find the value of tan^2a+sin@ cos@ +cot@
Answers
Answered by
0
Answer:
24/7
Step-by-step explanation:
Use the trig identity:
tan
2
A
=
2
tan
A
1
−
tan
2
A
(
1
)
.
First, find
tan
A
=
sin
A
cos
A
.
sin
A
=
3
5
-->
sin
2
A
=
9
25
-->
cos
2
A
=
1
−
9
25
=
15
25
-
-->
cos
A
=
±
4
5
.
Because A is in Quadrant II, its cos is negative.
cos
A
=
−
4
5
tan
A
=
sin
A
cos
A
=
(
3
5
)
(
−
5
4
)
=
−
3
4
Replace value of tan A = -3/4 into identity (1) -->
tan
2
A
=
−
3
2
1
−
9
16
=
(
−
3
2
)
(
16
7
)
=
−
24
7
Check by calculator.
cos
A
=
−
4
5
=
−
0.8
-->
A
=
143.13
-->
2
A
=
286.26
.-->
->
tan
2
A
=
−
3.43
−
24
7
=
−
3
.
43
.
OK
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