Question : If $\cos 20°= m$ and $\cos 70°=n$, then the value of $m^2+n^2$:

Option 1: $1$

Option 2: $\frac{3}{2}$

Option 3: $\frac{1}{\sqrt2}$

Option 4: $\frac{1}{2}$

Question : What is the value of $\frac{3 \operatorname{cosec} 42°}{\sec 48°}-\frac{5 \cos 32°}{\sin 58°}$?

Option 1: - 1

Option 2: 5

Option 3: 0

Option 4: - 2

Question : $\triangle$XYZ is right angled at Y. If $\angle$X = 60°, then find the value of $(\sec Z+\frac{2}{\sqrt3})$.

Option 1: $\frac{4}{\sqrt3}$

Option 2: $\frac{\sqrt2+2}{2\sqrt2}$

Option 3: $\frac{7}{2\sqrt3}$

Option 4: $\frac{4}{2\sqrt3}$

Question : What is the value of $\sec 330°$?

Option 1: $2$

Option 2: $\frac{–2}{\sqrt3}$

Option 3: $–2$

Option 4: $\frac{2}{\sqrt3}$

Question : The value of $\text{cosec}^{2}\: 18°-\frac{1}{\cot^{2}72°}$ is:

Option 1: $\frac{1}{\sqrt3}$

Option 2: $\frac{\sqrt2}{3}$

Option 3: $\frac{1}{2}$

Option 4: $1$