Question

if 3sec theta - 5=0 then find the value of cot theta​

Answer 1

Answer:

3/5

Step-by-step explanation:

3sec theta = 5

3/cot theta = 5

cot theta = 3/5

Answer 2

$Cot\theta=\frac{3}{4}$

Step-by-step explanation:

We are given that $3sec \theta - 5=0$

3sec \theta - 5=0

3sec \theta=5

sec \theta=\frac{5}{3}

We know that sec\theta = \frac{Hypotenuse}{Base}

On comparing

Hypotenuse = 5

Base = 3

To find perpendicular we will use Pythagoras theorem:

$Hypotenuse^2=Perpendicular^2+Base^2$

$5^2=Perpendicular^2+3^2\\5^2-3^2=Perpendicular^2\\\sqrt{5^2-3^2}=Perpendicular\\4=Perpendicular$

$Cot\theta = \frac{Base}{Perpendicular}\\Cot\theta = \frac{3}{4}$

#Learn more:

7sec thtea + 3tan theta = 4 then find 3sec theta + 7tan theta

https://brainly.in/question/11621462