$\triangle DEF $ is right angled at E. If $m\angle F$ = $45^{0}$, then what is the value of 2 Sin F x Cot F?1). $\sqrt{2}$2). 23). $\frac{1}{\sqrt{2}}$4). $\frac{1}{2}$
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1. IF $\frac{cosec\theta+sin\theta}{cosec\theta-sin\theta}$ =$\frac{5}{3}$ then the value of sin is equal to
2. If tanA + tanB = X, then the value of X is
3. If the angle of elevation of the sun changes from 30° to 45° length of pole decrease by 20 meters than the length (in metres) of the pole is:
4. Solve for x, if tan 3x = 5 tan x
5. If $\frac{sin\theta + cos\theta}{sin\theta - cos\theta}$ =3 , then the value of $sin^{4}\theta- cos^{4}\theta$ is
6. What is the value of Sin 30° + Cos 30°?
7. If a cos θ - b sin θ = c, then the value of a sin θ + b cos θ is
8. If $2sin\left(\frac{\pi x}{2}\right)$ = $x^{2} +\frac{1}{x^{2}}$ , then the value of $\left(x- \frac{1}{x}\right)$ is
9. If $3sin\theta + 5cos\theta$ = 5, then $5sin\theta - 3cos\theta$ is equal to
10. A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over taken?
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