Question

if 5 sin alpha equals to 3 then find the value of sec Alpha​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

if 5 sin alpha equals to 3 then find the value of sec Alpha​ is 1.25

Step-by-step explanation:

Let Sin alpha be y.

Therefore, 5y = 3

From the equation, lets solve for y.

5y = 3

y = 3/5 = 0.6

This means:

Sin alpha = 0.6

Now, sec alpha = 1/cos alpha

Sin = opposite/hypotenuse = 6/10

From this, we get that: Opposite = 6 , hypotenuse = 10

Using Pythagorean theorem we can get the adjacent side.

Adj side = √(10² - 6²) = 8

Cos = adjacent/hypotenuse

Cos = 8/10 = 0.8

Sec = 1/cos = 1/0.8 = 1.25

Therefore, sec alpha = 1.25