Question

if sin tita=12/13 then find the cost of cos tita and tan tita
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Answer 1

Answer:

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Answer 2

Answer:

cos Ѳ = 5/13

tan Ѳ = 12/5

Step-by-step explanation:

sinѲ = 12/ 13

Since, sinѲ = perpendicular/hypotenuse

Let perpendicular be 12x and hypotenuse be 13x

According to Pythagoras Theorem:

(hypotenuse)² = (perpendicular)² + (base)²

=> (13x)² = (12x)² + (base)²

=> 169x² = 144x² + (base)²

=> 169x² - 144x² = (base)²

=> 25x² = (base)²

=> base = √25x²

=> base = 5x

Therefore,

cosѲ = base/hypotenuse = 5x/13x = 5/13

tanѲ = perpendicular/base = 12x/5x = 12/5

Hope it helps you......✔✔✔