Math, asked by lokeshsilavan, 3 months ago

If sin O =20/29 find the values of cos O and tan 8.​

Answers

Answered by sudhanshukmr57
1

Answer:

Cos O = 21/29

Tan O = 20/21

Step-by-step explanation:

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Answered by akashbindjnvg
4

Answer:

Hello!

Good morning....

Question ⤵

If sin@ =20/29 find the values of cos@ and tan@?

Answer ⤵

Given

➡Sin@=20/29

Find out

➡cos@

➡tan@

Using formula

➡sin²@+cos²=1, from this cos²@=1-sin²@

➡tan@ =sin@/cos@

Solution ⤵

{cos}^{2}  = 1 -  {sin}^{2}  \\  {cos}^{2}  = 1 - \ ({ \frac{20}{29}) }^{2}  \\  {cos}^{2}  = 1 -  \frac{400}{841}  \\  {cos}^{2}  =  \frac{841 - 400}{841}  \\ cos =  \ \  \sqrt{ \frac{441}{841} } \ \\ cos =  \frac{21}{29}   \\ now \:using .....\: \\   \:  \:  \:  \:  \:  tan =  \frac{sin}{cos}  \\ tan =  \frac{ \frac{20}{29} }{ \frac{21}{29} } \ \\ tan =  \frac{20}{29}    \times  \frac{29}{21}  \\ tan \frac{20}{21}

Hence the cos@=21/29

and tan@=20/21

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