show that : `tan 75^(circ)+cot 75^(circ)=4`

Show that (sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(sec (540^(circ)-A) cos (360^(circ)+A))= -1

Show that tan 15^@ + cot 15^@ = 4

Prove that cos 24^(circ)+cos 55^(circ)+cos 125^(circ)+cos 204^(circ)+cos 300=(1)/(2)

Can we draw a regular polygon with each outer angle 6^(circ) ? What about 7^(circ) ?

Find the equation of the line passing through (2,2 sqrt3) and inclined with the x -axis at an angle of 75^(circ)

Classify this angles. i)Less than 90^(circ) . ii) 90^(circ) . iii)More than 90^(circ) .

A ladder leans against a wall. Its foot is 3 metres away from the wall and making an angle 35^circ with ground. How high is the other end of the ladder from the ground? (sin 35^circ=0.57, cos 35^circ=0.82, tan 35^circ=0.70)

A tower is built in a river of width 80 metres. One sees the top of the river at an elevation of 55^circ and 65^circ . from either banks of the river. a) Draw a figure using the given measurements. b) Find the height of tower c) Find the distances to either banks from the foot of the tower. [tan 55^circ =1.43 , tan 65^circ =2.14]