If cos B = $\frac{5}{7}$, what is the value of cosec B + cot B ? Given that 0 < B < $\frac{\pi}{2}$
Answer & explanation
Correct answer: option 4
cosB = \(\frac{5}{7}\)
By using pythagoras theorem ,
P2 + B2 = H2
P2 + 52 = 72
P = 2√6
Now , cosec B + cot B
= \(\frac{7}{2√6 }\) + \(\frac{5}{2√6 }\)
= \(\frac{12}{2√6 }\)
= √6