If 2 + sec 0 = 4, then 0 =
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Step-by-step explanation:
tanθ+secθ=4⇒
cosθ
1+sinθ
=4⇒
4
1+sinθ
=cosθ
Also, we know that,
cos
2
θ=1−sin
2
θ⇒(
4
1+sinθ
)
2
=1−sin
2
θ⇒1+sin
2
θ+2sinθ=16−16sin
2
θ⇒17sin
2
θ+2sinθ−15=0
⇒(sinθ+1)(17sinθ−15)=0⇒sinθ=
17
15
or −1
Therefore, Answer is
17
15
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