Find the value of other five trigonometry function in exercise 1 to 5
Q. sin×=3/5 , × lies in second quadrant
Answers
Answered by
16
Answer:
-34
Step-by-step explanation:
Given, sinx=
5
3
cosecx=
sinx
1
=
(
5
3
)
1
=
3
5
sin
2
x+cos
2
x=1
⇒cos
2
x=1−sin
2
x
⇒cos
2
x=1−(
5
3
)
2
⇒cos
2
x=1−
25
9
⇒cos
2
x=
25
16
⇒cosx=±
5
4
Since x lies in the 2rd quadrant, the value of cosx eill be negative
∴cosx=−
5
4
secx=
cosx
1
=
(−
5
4
)
1
=−
4
5
tanx=
cosx
sinx
=
(−
5
4
)
(
5
3
)
=−
4
3
cotx=
tanx
1
=−
3
4
.
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