find the values of other trigonometric functions cos x = - 1 by 2 X lies second quadrant
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Explanation:
cosx=−
2
1
∴secx=
cosx
1
=−2
Now ∵sin
2
x+cos
2
x=1
⟹sin
2
x=1−cos
2
x⟹sin
2
x=1−
4
1
=
4
3
⟹sinx=±
2
3
Since x lies in third quadrant, the value of sinx will be negative.
∴sinx=−
2
3
cscx=
sinx
1
=−
3
2
tanx=
cosx
sinx
=
(−
2
1
)
(−
2
3
)
=
3
cotx=
tanx
1
=
3
1
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