If cosecθ = 0.75
find the value of \(\frac{8tanθ - 5cosθ+1}{ 3cosecθ + 4tanθ-1}\) + \(\frac{10}{11}\).
Answer & explanation
Correct answer: option 4
cosecθ = \(\frac{125}{75}\) = \(\frac{5}{3}\) = \(\frac{H}{P}\) (Triplet 3, 4, 5)
B = 4
Put than and find
⇒ \(\frac{8×\frac{3}{4}-5×\frac{4}{5}+1}{3\frac{5}{3}+4×\frac{3}{4}-1}\) + \(\frac{10}{11}\)
⇒ \(\frac{6 - 4 + 1 }{5 + 3 -1}\) + \(\frac{10}{11}\)
⇒ \(\frac{3}{7}\) +\(\frac{10}{11}\)
= \(\frac{33 + 70}{77}\) = \(\frac{103}{77}\)