A positive acute angle is divided into two parts whose tangents are `1/2 and 1/3.` Then the angle is

A positive acute angle is divided into two parts whose tangents are 1/2 and 1/3. Show that the angle is (pi)/(4).

A positive acute angle is divided into two parts whose tangents are (1)/(8)and(7)/(9) . What is the value of this angle ?

If angle theta is divided into two parts such that the tangents of one part is lambda times the tangent of other, and phi is their difference, then show that sintheta=(lambda+1)/(lambda-1)sinphi .

If angle theta is divided into two parts such that the tangents of one part is lambda xx the tangent of other,and phi is their difference,then show that sin theta=(lambda+1)/(lambda-1)sin phi

Two acute angles are congruent

If theta and phi are positive acute angles satisfying sin theta =1/2 and cos phi =1/3, then the value of (theta + phi) lies in the interval-

If the angle theta be divided into two parts such that the tangent of one part is m times the tangent of the other, then prove that their difference phi is obtained fron the relation is sin phi=abs(((m-1))/((m+1)))sin theta

Find the acute angle between two lines whose direction ratios are and

The base of a triangle is divided into three equal parts. If t_1, t_2,t_3 are the tangents of the angles subtended by these parts at the opposite vertex, prove that (1/(t_1)+1/(t_2))(1/(t_2)+1/(t_3))=4(1+1/(t2 2))dot