Question

Given sino = 12/13 caluclate coso and tano
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Answer 1

Question:-

➡ If sin(x) = 12/13, calculate cos(x) and tan(x)

Solution:-

Given that,

➡ sin(x) = 12/13

➡ sin²(x) = (12/13)²

➡ sin²(x) =144/169

We know that,

sin²(x) + cos²(x) = 1

Substituting sin²(x), we get,

➡ 144/169 + cos²(x) = 1

➡ cos²(x) = 1 - 144/169

➡ cos²(x) = (169 - 144)/169

➡ cos²(x) = 25/169

➡ cos(x) = √(25/169)

➡ cos(x) = 5/13 (omitting negative sign)

Now, tan(x) = sin(x)/cos(x)

➡ tan(x) = 12/13 ÷ 5/13

➡ tan(x) = 12/13 × 13/5

➡ tan(x) = 12/5

Hence,

➡ cos(x) = 5/13

➡ tan(x) = 12/5

Answer:-

➡ cos(x) = 5/13

➡ tan(x) = 12/12

Formula Used:-

➡ sin²(x) + cos²(x) = 1

Answer 2

Answer:

hey hope above answer helps u .