Question

If 5cot A= 8, then the value of sinA secA is​

Answer 1

Step-by-step explanation:

If 5cot A= 8, then the value of sinA secA is

Answer 2

Given: 5cot A= 8

To find: We have to find out the value of sinA secA.

Solution:

The given expression is 5cotA=8

so, we can write-

$cot A = \frac{8}{5} \\cot A = \frac{1}{tanA} \\ tanA = \frac{5}{8}$

Now we know that $tanA = \frac{sinA}{cosA}$

Again we can write $cosA = \frac{1}{secA}$

Putting the value of cosA in the expression of tanA we get-

$tanA = \frac{sinA}{\frac{1}{secA}}$

$tanA = {sinA}{secA}$

As, $tanA = \frac{5}{8}$ thus secA sinA have a value $\frac{5}{8}$.

The value of sinA secA is $\frac{5}{8}$.