If $tan\theta$ = $\frac{1}{\sqrt{11}}$ , $0 < \theta < \frac{\pi}{2}$ , then the value of $\frac{cosec^{2}\theta - sec^{2}\theta}{cosec^{2}\theta + sec^{2}\theta}$ then the value of is
1). $\frac{3}{4}$
2). $\frac{4}{5}$
3). $\frac{5}{6}$
4). $\frac{6}{7}$
tan$\theta$ = $\frac{1}{\sqrt{11}}$ , cot$\theta$ = $\sqrt{11}$
$\frac{cosec^{2}\theta-sec^{2}\theta}{cosec^{2}\theta+sec^{2}\theta}$
$\frac{cot^{2}\theta-tan^{2}\theta}{cot^{2}\theta+tan^{2}\theta+2}$
$\frac{(\sqrt{11})^{2}-\frac{1}{(\sqrt{11})^{2}}}{(\sqrt{11})^{2}+\frac{1}{(\sqrt{11})^{2}}+2}$ = $\frac{5}{6}$ .
2. If sin 38° = x/y, then sec 38° - sin 52° is equal to
3. If $tan\theta + cot\theta$ = 5, then $tan^{2}\theta + cot^{2}\theta$ is
4. Find the value of cot x - tan x
5. If tan θ + cot θ = x and cos θ + sin θ = y, then the value of (x(y2 - 1))2 is
6. If sin x = 3/5, and 0° < x < 90°, the value of tan x + sec x is:
7. What is the value of (2 + tan60o)?
8. The value of $\theta$ ,$(0 \leq \theta \leq 90^{0})$ satisfying $2sin^{2}\theta$ = $3cos\theta$ is
10. ∆DEF is right angled at E. If cos D = 5/13, then what is the value of tan F?