List of top Mathematics Questions on Trigonometric Functions asked in AIEEE

The value of cos $255^{\circ}$ + sin $195^{\circ}$ is

Let $A$ and $B$ denote the statements $A: cos\,\alpha + cos\,\beta + cos \,\gamma = 0$ $B: sin \alpha + sin\, \beta + sin\,\gamma = 0$ If $cos\left(\beta-\gamma\right)+cos\left(\gamma-\alpha\right)+cos\left(\alpha-\beta\right)=-\frac{3}{2}$, then

A tower stands at the centre of a circular park. $A$ and $B$ are two points on the boundary of the park such that $AB (= a)$ subtends an angle of $60^\circ$ at the foot of the tower, and the angle of elevation of the top of the tower from $A$ or $B$ is $30^??. The height of the tower is

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is $60^{\circ}$ and when he retires $40$ meter away from the tree the angle of elevation becomes $30^{\circ}$. The breadth of the river is