+0

# tan A = 2/3 and tan b= -3/5 . what exact value of cot (A-B)

0
464
3

tan A = 2/3 and tan b= -3/5 . what exact value of cot (A-B)

Guest Aug 11, 2015

#2
+19054
+15

tan A = 2/3 and tan b= -3/5 . what exact value of cot (A-B)

$$\small{\text{ \boxed{~\cot{(A-B)} =\dfrac{ 1+\tan{(A)} \cdot \tan{(B)} }{ \tan{(A)} - \tan{(B)} } ~} }}$$

$$\small{\text{ \begin{array}{lcl} \cot{(A-B)} &=&\dfrac { 1+\dfrac23 \cdot \left(\dfrac{-3}{5}\right) } { \dfrac23 - \left(\dfrac{-3}{5}\right)}\\\\ \cot{(A-B)} &=&\dfrac { 1-\dfrac23 \cdot \left(\dfrac{3}{5}\right) } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { 1-\dfrac25 } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { \dfrac35 } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { \dfrac35 } { \dfrac{19}{15} }\\\\ \cot{(A-B)} &=& \left(\dfrac35 \right) \cdot \left(\dfrac{15}{19}\right)\\\\ \mathbf{\cot{(A-B)}} & \mathbf{=} & \mathbf{\dfrac{9}{19}} \\\\ \end{array} }}\\\\$$

heureka  Aug 11, 2015
Sort:

#1
+299
0

tan A=2/3, tan B=-3/5

A=33.69, B=30.96

So the value of cot 2.73 is 20.97158

jdh3010  Aug 11, 2015
#2
+19054
+15

tan A = 2/3 and tan b= -3/5 . what exact value of cot (A-B)

$$\small{\text{ \boxed{~\cot{(A-B)} =\dfrac{ 1+\tan{(A)} \cdot \tan{(B)} }{ \tan{(A)} - \tan{(B)} } ~} }}$$

$$\small{\text{ \begin{array}{lcl} \cot{(A-B)} &=&\dfrac { 1+\dfrac23 \cdot \left(\dfrac{-3}{5}\right) } { \dfrac23 - \left(\dfrac{-3}{5}\right)}\\\\ \cot{(A-B)} &=&\dfrac { 1-\dfrac23 \cdot \left(\dfrac{3}{5}\right) } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { 1-\dfrac25 } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { \dfrac35 } { \dfrac23 + \dfrac35 }\\\\ \cot{(A-B)} &=&\dfrac { \dfrac35 } { \dfrac{19}{15} }\\\\ \cot{(A-B)} &=& \left(\dfrac35 \right) \cdot \left(\dfrac{15}{19}\right)\\\\ \mathbf{\cot{(A-B)}} & \mathbf{=} & \mathbf{\dfrac{9}{19}} \\\\ \end{array} }}\\\\$$

heureka  Aug 11, 2015
#3
+91909
+8

Nice work Heureka :))

Melody  Aug 11, 2015

### 8 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details