If tanA=x, then x is:
- Acsc
2
A+1
- Bsec
2
A+1
- Ccsc
2
A−1
- Dsec
2
A−1
Solution & Step-by-step Explanation
From the fundamental trigonometric identities, we know that:
sec
2
A−tan
2
A=1
tan
2
A=sec
2
A−1
Taking the square root on both sides:
tanA=
sec
2
A−1
Since tanA=x:
x=
sec
2
A−1
sec
2
A−tan
2
A=1
tan
2
A=sec
2
A−1
Taking the square root on both sides:
tanA=
sec
2
A−1
Since tanA=x:
x=
sec
2
A−1