if sec theta is equal to 2 and 10 theta is equal to root 3 X then find the value of x
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Answered by
1
Answer:
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Step-by-step explanation:
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Answered by
0
Answer:
Consider the given equation.
secθ+tanθ=x ……. (1)
(secθ+tanθ)×
secθ−tanθ
secθ−tanθ
=x
secθ−tanθ
sec
2
θ−tan
2
θ
=x
We know that
sec
2
θ−tan
2
θ=1
Therefore,
secθ−tanθ
1
=x
secθ−tanθ=
x
1
…….. (2)
From equation (1) and (2), we get
2secθ=x+
x
1
2secθ=
x
1+x
2
secθ=
2x
1+x
2
Hence, the value of secθ is
2x
1+x
2
.
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