If cosec θ =\(\frac{\sqrt{5}}{2}\) , then what will be the value of (sec θ + tan θ − cot θ sin θ)?
\(2 + \frac{4\sqrt{5}}{5}\)
\(2 + \sqrt{5}\)
\(2 + \frac{\sqrt{5}}{2}\)
\(2 + \frac{2\sqrt{5}}{5}\)
If 8 sin2θ + 2 cos θ = 5, 0° < θ < 90°, then the value of tan2θ + sec2θ − sin2 θ will be:
\(\frac{305}{144}\)
\(\frac{431}{144}\)
\(\frac{23}{9}\)
\(\frac{153}{72}\)
If 3cot2x - 7 cosec2x + 7 = 0, then the value of x (0° ≤ x ≤ 90°) is:
What is the value of sin2 60° + tan2 45° + sec2 45° − cosec2 30°?
If 2 tan x + 3 cot x = 5, then the value of 4 tan2 x + 9 cot2 x is: