If $x sin60^{0} tan30^{0} - tan45^{0}$ = $cosec60^{0} cot 30^{0} - sec^{2}45^{0}$, then x =
1). 2
2). -2
3). 6
4). -4
x sin60° tan 30° – tan245°
= cosec 60°. cot30° – sec245°
=> x.$\frac{\sqrt{3}}{2}$.$\frac{1}{\sqrt{3}}$ -1
=> $\frac{x}{2}$ -1 = 2-2 = 0
=> $\frac{x}{2}$ = 1
=> x = 2 .
2. If $\frac{cosA}{(1 - sinA)} = x$, then the value of x is
3. If $tan2\theta. tan3\theta$ = 1, where $0^{0} < \theta < 90^{0}$ then the value of $\theta$ is
4. If secθ(cosθ + sinθ) = √2, then what is the value of 2sinθ/(cosθ - sinθ)?
6. If $tan(5x - 10^{0})$ = $cot(5y + 20^{0})$, the value of (x +y ) is
7. The sides of a triangle are 195, 157 and 210, respectively. What is the area of the triangle?
8. If tan θ - cot θ = 0, find the value of √6(4sin θ + 2cos θ),
9. Find the exact value of [tan(25o) + tan(50o]/[1 - tan(25o) tan(50o)]