If $2 cos \theta$ = $2 - sin \theta$, then what is the value of $cos \theta$?
1). 1 or $\frac{3}{5}$
2). 1 or $-\frac{1}{2}$
3). -1 or $-\frac{1}{2}$
4). -1 or $\frac{3}{5}$
What is the simplified value of (cos A + sin A)(cot A + tan A)?
1). sec A + cosec A
2). sin A + cos A
3). tan A + cot A
4). sec A ? cosec A
Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in sq.cm) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?
1). 6
2). $9\sqrt{3}$
3). 12
4). $12\sqrt{3}$
Circum-centre of $\triangle ABC $ is O. If $\angle BAC $= $75^{0}$ and $\angle BCA$ = $80^{0}$, then what is the value (in degrees) of $\angle OAC$?
1). 45
2). 65
3). 90
4). 95
In $\triangle ABC$, AD is the median and AD = $\left(\frac{1}{2}\right)BC$. If $\angle ACD$ = $40^{0}$, then what is the value (in degrees) of $\angle DAB$?
1). 30
2). 40
3). 50
4). 80