Question

if theta is equal to acute and sin theta equal to 4 by 5 then tan theta equal to​

Answer 1

Sin theta = 4/5

As we know

sin

= perpendicular/ hypotenuse

So

here ,

let perpendicular= 4k

Hypotenuse= 5k

According to Pythagoras

baba

Hypotenuse^2

= perpendicular^2 + base^2

√{(5k)^2-(4k)^2}= base

√25k^2-16k^2= base

√9k^2= base

base = 3k

Now as we know

Tan theta

= perpendicular/base

= 4k/3k

= 4/3

ANSWER : 4/3

So thanks for asking

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