Question

cot x = 3/4 , x lies in third quadrant.find the value of other Trignometric functions.​

Answer 1

To Find :

• we need to find other Trignometric ratios.

Solution :

we know that,

• cot x = 1/tan x

Tan x = 4/3

• 1 + tan²x = sec²x

sec²x = 1 + (4/3)²

sec²x = 1 + 16/9

sec²x = (9 + 16)/9

sec²x = 25/9

sec x = √25/9

• x lies in third quadrant
• sec x = -5/3

cos x = -3/5

• sin²x + cos²x = 1

sin²x + (-3/5)² = 1

sin²x + 9/25 = 1

sin²x = 1 - 9/25

sin²x = 16/25

sin x = √16/25

• x lies in third quadrant

sin x = -4/5

cosec x = -5/4

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