if cos^4theta+cos^2theta=1.Find the value of sec^4theta-sec^2theta=1
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Answer:
∵cos
4
θ+cos
2
θ=1
⇒cos
4
θ=sin
2
θ
⇒
sin
2
θ
cos
4
θ
=1 or
cos
4
θ
sin
2
θ
=1
Nowsec
4
θ−sec
2
θ=sec
2
θ(sec
2
θ−1)
=sec
2
θ×tan
2
θ=
cos
4
θ
sin
2
θ
=1
Step-by-step explanation:
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