Question

If 5sin theata =3 then cos theata

Answer 1

Answer: sinQ=3/5=p/h

By using Pythagoras theorem:

B=4

CosQ=b/h

CosQ=4/5

Answer 2

▶ Question :-

→ If 5 sin theta(∅) = 3, then cos theta (∅) .


▶Answer :-

→ cos ∅ = 4/5 .


▶ Step-by-step explanation :-


➡ Given :-

→ 5 sin ∅ = 3 .

°•° sin ∅ = 3/5 .


➡ To find :-

→ cos ∅ .


$\huge \pink{\underline{ \underline{ \sf Solution :- }}}$


We have,

°•° sin ∅ = 3/5 = p/h .

[ •°• p = 3 , h = 5 . ]


We know that,

→ h² = p² + b² .

==> b² = 5² - 3² .

==> b² = 25 - 9 .

==> b = √(16) .

•°• b = 4 .


▶ Therefore, cos ∅ = b/h .

$\huge \boxed{ \green{ \sf \cos \theta = \frac{4}{5} .}}$



✔✔ Hence, it is solved ✅✅.


THANKS