Question

10) If tan theta= 4/3 show that √ 1-sin theta/ 1+sin theta= 1/3​

Answer 1

Step-by-step explanation:

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

$\boxed{\bf{\pink{\bigstar Given \longrightarrow}}}$

=> Tan theta = 4/3

$\boxed{\bf{\pink{\bigstar Find \longrightarrow}}}$

Show that root 1 - sin theta / 1 + sin theta = 1/3

$\boxed{\bf{\pink{\bigstar Solution \longrightarrow}}}$

=> Tan theta = 4/3

=> p/b = 4/3 , P = 4 , B = 3 , H = 5

So,

Sin theta = P/H = 3/5

● According to the question

=> root 1 - sin theta / 1 + sin theta

=> root (1 - 3/5)/(1 + 3/5)

=> root ( 2/5 ) / ( 8/5 )

=> root 1/4

=> 1/2

$\huge\textbf{Answer = 1/2}$

Answer 2

$\boxed{\bf{\pink{\bigstar Answer:- \longrightarrow}}}$

=> Tan theta = 4/3

=> p/b = 4/3 , P = 4 , B = 3 , H = 5

So,

Sin theta = P/H = 3/5

● According to the question

=> root 1 - sin theta / 1 + sin theta

=> root (1 - 3/5)/(1 + 3/5)

=> root ( 2/5 ) / ( 8/5 )

=> root 1/4

=> 1/2

$\mathfrak{\huge{\orange{\underline{\underline{Thanks :}}}}}$

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