Question

if sinø=3/5 find cosø​

Answer 1

Answer:

sin theeta=3/5

cos theeta=√(1-sin^2theeta)

=√(1-3/5^2)

=√(1-9/25)

=√(25-9)/25

=√16/25

=4/5

Answer 2

GIVEN :-

• sin∅ = 3/5

TO FIND :-

• The value of cos∅.

SOLUTION :-

As we know that,

★ cos∅ = √(1 - sin²∅) ★

On substituting the values we get,

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{1 - \sin ^{2} ( \theta) }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{1 - \bigg( \frac{3}{5} \bigg) ^{2} }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{1 - \frac{9}{25} }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{ \frac{25 - 9}{25} }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{ \frac{16}{25} }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{ \frac{4 ^{2} }{5 ^{2} } }$

$\implies \displaystyle \sf \: \cos( \theta) = \sqrt{ \bigg(\frac{ 4}{5} \bigg) ^{2} }$

$\implies \underline{ \boxed{ \displaystyle \sf \: \cos( \theta) = \frac{4}{5} }}$