Question
Download Solution PDFIf b sin θ = a, then sec θ + tan θ = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
b sin θ= a
Concept used:
sinθ = Perpendicular/ Hypotenuse
secθ = Hypotenuse/ Base
tanθ = Perpendicular/ Base
Calculation:
bsinθ = a
sinθ = a/b
So, Perpendicular = a & Hypotenuse = b
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
b2 = a2+ Base2
base2 = b2- a2
secθ = Hypotenuse/ base= b/
tanθ= perpendicular/ base= a/
So, secθ+ tanθ = b/
secθ + tanθ = (b+ a)/(
∵ (b + a) = √(b + a) × √(b + a)
⇒ secθ + tanθ =
secθ+ tanθ=
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