Tangent of an angle increases four times as the angle itself. At what rate the sine of the angle increases w.r.t. the angle?

Measure of supplement of an angle is 3 times the measure of the angle . Find the measure of the angle.

The product of the sines of the angles of a triangle is p and the product of their cosines is qdot Show that the tangents of the angles are the roots of the equation q x^3-p x^2+(1+q)x-p=0.

The perimeter of a triangle ABC is six times the arithmetic mean of the sines of its angles. If the side a is 1 then find angle Adot

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

The perimeter of a triangles ABC 6 times the arithemetic mean of the sine ratios of its angles if a =1 , A=

What are the differences between Plane angle and solid angle?

If angle A and angle P are acute angles such that sin A =sin P then prove that angle A =angle P