Question

(a+b)=90 degree and tan a=3/4 , calculate value of cot b​

Answer 1

Answer:

cot B = \frac{3}{4}cotB=

4

3

Step-by-step explanation:

Given :Tan A= \frac{3}{4}

4

3

and A+B= 90°

To Find : what is the value of cot B?

Solution:

In ΔABC

∠A+∠B+∠C=180° (Angle sum property of triangle)

Since we are given that ∠A+∠B =90°

So, 90°+∠C=180°

∠C=180°-90°

∠C=90°

So, ΔABC is a right angled triangle at C

So, tan \theta = \frac{Perpendicular}{Base}tanθ=

Base

Perpendicular

We are given that

So, on comparing

For ∠A

Perpendicular = 3

Base = 4

For ∠B

Base = 3

Perpendicular =4

cot \theta = \frac{Base}{Perpendicular}cotθ=

Perpendicular

Base

cot B = \frac{3}{4}cotB=

4

3