Math, asked by namithamanoj07, 3 months ago

find sin A =4/5 then cos A ​

Answers

Answered by Anonymous
4

Answer:

3/5

Step-by-step explanation:

using triangle method

Answered by aryannagare12
23

Answer:

\longrightarrow  \underline{\boxed{  \bf{cos}^{2} θ =  \frac{3}{5} }}  \red \bigstar\\

Step-by-step explanation:

\rule{200pt}{5pt}

We know that,

\sf \longrightarrow sin^{2} θ +  {cos}^{2} θ = 1 \\

\sf \longrightarrow \bigg( { \frac{4}{5} }  \bigg)^{2}  +  {cos}^{2} θ = 1 \\

\sf \longrightarrow \frac{16}{25}  +  {cos}^{2} θ = 1 \\

\sf \longrightarrow {cos}^{2} θ  = 1 -  \frac{16}{25}  \\

\sf \longrightarrow {cos}^{2} θ =  \frac{25 - 16}{25}  \\

\sf \longrightarrow {cos}^{2} θ =  \frac{9}{25}  \\

Taking square root

\longrightarrow  \underline{\boxed{  \bf{cos}^{2} θ =  \frac{3}{5} }}  \red \bigstar\\

\rule{200pt}{5pt}

Thank you :)

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