Question

if cos²∅=16/25 (where ∅ is acute ) then the value of sin∅ is_________
3/5
11/25
9/25
4/5
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Answer 1

Answer:

cos²∅ = 16/25

or, cos∅ = 4/5

Then,

Base = 4 units, Hypotenuse = 5 units

$height \: = \: \sqrt{ {5}^{2} - {4}^{2} } \\ = \sqrt{25 - 16} \\ = \sqrt{9} = 3 \: units$

∴ sin∅ = Height / Hypotenuse

= 3 / 5