Question

If sin 0 =4/3
find the value of sin 0 + cos O.
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Answer 1

Given:

sin∅ = 4/3

To Find:

sin∅ + cos∅

Solution:

In ∆ABC

(AC)² = (AB)² + (BC)²

(AC)² = (4)² + (3)²

(AC)² = 16 + 9

(AC)² = 25

AC = √25

AC = 5cm

Therefore, Cos∅ = 5/3

Now, sin∅ + cos∅

= 4/3 + 5/3

= 9/3

= 3

Answer 2

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In ∆ABC

$\implies$(AC)² = (AB)² + (BC)²

$\implies$(AC)² = (4)² + (3)²

$\implies$(AC)² = 16 + 9

$\implies$(AC)² = 25

$\implies$ AC = √25

$\implies$AC = 5cm

Cos∅ = 5/3

Now, sin∅ + cos∅

$\implies$ 4/3 + 5/3

$\implies$ 9/3

$\implies$ 3