if sectheta +tantheta equal to 9 then find the value of sin theta interms of p
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Answer:
this is not exact sol. bt it will help you
Step-by-step explanation:
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If sec θ + tan θ=p, then sinθ=
Medium
Solution
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Correct option is
B
p
2
+1
p
2
−1
Given secθ+tanθ=p …(I)
we know that sec
2
θ−tan
2
θ=1
⇒(secθ+tanθ)(secθ−tanθ)=1
⇒(p)(secθ−tanθ)=1
⇒(secθ−tanθ)=
p
1
…(II)
Add (I) and (II)
we get 2secθ=p+
p
1
2secθ=
p
p
2
+1
secθ=
2p
p
2
+1
Subtract (I) and (II)
we get 2tanθ=p−
p
1
2tanθ=
p
p
2
−1
tanθ=
2p
p
2
−1
divide tanθ and secθ
secθ
tanθ
=
2p
p
2
+1
2p
p
2
−1
secθ
tanθ
=
2p
p
2
−1
×
p
2
+1
2p
secθ
tanθ
=
p
2
+1
p
2
−1
Answer:
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