If b cos θ = a, then cosecθ + cotθ = ______.
Answer & explanation
Correct answer: option 3
b cos θ = a
cos θ = \(\frac{a}{b}\)
B = a & H = b
P2 + B2 = H2
P2 + a2 = b2
P2 = b2 - a2
P = \(\sqrt { b2 - a2 }\)
cosecθ + cotθ = \(\frac{b}{\sqrt { b2 - a2 }}\) + \(\frac{a}{\sqrt { b2 - a2 }}\)
= $\sqrt{\frac{b+a}{b-a}}$