Question

if sin tita = 3/5 . calculate cos tita and cot tita​

Answer 1

Answer:

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sin ø = 3/5

• sin ø = opposite/hypotenuse

➙ sin ø = BC/AC

To find another side...

➢ By using Pythagoras theorem

➡ (Hypotenuse)² = (Side)² + (Side)²

➡ (AC)² = (AB)² + (BC) ²

➡ (5)² = (AB)² + (3) ²

➡ 25 = (AB)² + 9

➡ (AB)² = 25 - 9

➡ (AB)² = 16

➡ (AB) = √16

➡ AB = 4

Therefore, we got another side.

Now all sides of triangle are

AB = 4 cm; BC = 3 cm; AC = 5 cm

⟹ cos ø = Adjacent/Hypotenuse

⟹ cos ø = AB/AC

⟹ cos ø = 4/5

⟹ cot ø = Adjacent/Opposite

⟹ cot ø = AB/BC

⟹ cot ø = 4/3

Therefore, the values of cos ø = 4/5 & cot ø = 4/3

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Step-by-step explanation:

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