Question

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Answer 1

Answer:

cos θ = 4/5

tanθ = 3/4

Step-by-step explanation:

by Pythagoras theorem we can find out the value of base. we already know the value of perpendicular and hypotenuse coz we know the value of sin θ is perpendicular/hypotenuse

now when we know all three values, we can find out the required ratios

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Answer 2

▲ABC be a right angled at B

Let, ∠ ACB=Θ

Given that, sin = 3/5

AB/AC = 3/5

Let, AB = 3x

then AC = 5x

In right angled ▲ABC,

By Pythagoras theorem,

We get,

hypo²=side²+side²

(5x)²= (3x)² + BC²

BC² = (5x)² -(3x)²

BC² = (5x)²-(3x)²

BC² = 25x²-9x²

BC²=16x²

taking square root,

BC=4x

(i) cos 0 = Base/ Hypotenuse

BC / AC = 4x /5x = 4/5

(ii) tan 0 = perpendicular/Base

AB/BC=3x/4x=3/4