If tan A = frac{1}{2} and tan B = frac{1}{3}, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) We use the formula for the tangent of a sum of two angles: $	an(A + B) = \frac{	an A + 	an B}{1 - 	an A 	an B}$.Substituting the given values

Vedclass · Accepted Answer

$\frac{\pi}{4}$

Vedclass · Answer

(B) We use the formula for the tangent of a sum of two angles: $	an(A + B) = \frac{	an A + 	an B}{1 - 	an A 	an B}$.Substituting the given values $	an A = \frac{1}{2}$ and $	an B = \frac{1}{3}$:$	an(A + B) = \frac{\frac{1}{2} + \frac{1}{3}}{1 - (\frac{1}{2})(\frac{1}{3})}$$= \frac{\frac{3+2}{6}}{1 - \frac{1}{6}}$$= \frac{\frac{5}{6}}{\frac{5}{6}} = 1$.Since $	an(A + B) = 1$,we have $A + B = 	an^{-1}(1)$.Therefore,$A + B = \frac{\pi}{4}$.

If $\tan A = \frac{1}{2}$ and $\tan B = \frac{1}{3},$ the value of $A + B$ is

Similar Questions

The radius of the circle whose arc of length $15 \ cm$ makes an angle of $3/4$ radian at the centre is ..... $cm$.

Two towers $A$ and $B$ have heights $45 \, m$ and $15 \, m$ respectively. The angle of elevation from the bottom of tower $B$ to the top of tower $A$ is $60^{\circ}$. If the angle of elevation from the bottom of tower $A$ to the top of tower $B$ is $\theta$,then the value of $\sin \theta$ is:

If $\sin \beta$ is the geometric mean between $\sin \alpha$ and $\cos \alpha,$ then $\cos 2\beta$ is equal to

What is the value of $(1+\cot A)^{2}+(1-\cot A)^{2}$?

If $\tan^2 \theta = 2\tan^2 \phi + 1$,then $\cos 2\theta + \sin^2 \phi$ equals

Vedclass Test Series

Exam Paper Generator

Online Exam Module