Question

if sin thetha=5/13,then what is value value of tan thetha=

PLZ ANSWER THIS QUESTION STEP BY STEP EXPLANATION BECAUSE IAM STUCK IN THIS QUESTION ​

Answer 1

${\pink{\bf{\huge{\star{Smile{\star}}}}}}$

${\boxed{\bf{\boxed{\blue{\huge{5/12}}}}}}$

${\underline{\bold{Given-}}}$

sinx=5/13

opposite=5

hypotenuse=13

adjacent=?

let adjacent side be y then

${y}^{2} = {13}^{2} - {5}^{2} \\ {y}^{2} = 169 - 25 \\ {y}^{2} = 144 \\y = \sqrt{144} \\ y = 12$

then,

tanx=opp/adj

so,

tanx=5/12

Hope it helps❤✌

Answer 2

sinx=5/13

cosx=

$\sqrt{1 - {5 \div 13}^{2} }$

tanx=sinx/cosx