Question

If cosθ=60/61 then find value of tanθ. *

Answer 1

Answer:

11/60

Step-by-step explanation:

= > cosθ = 60/61

= > cosθ = base/hypo. = 60/61

So, let base be 60a and hypotenuse be 61a.

Using Pythagoras theorem,

= > (61a)² = (60a)² + height²

= > 3721a² = 3600a² + height²

= > 3721a² - 3600a² = height²

= > 121a² = height²

= > 11a = height

Hence,

tanθ = height/base = 11a/60a = 11/60