Question

if sin theta=4/5 write all trigonometry ratio ​

Answer 1

Given : sinθ = 4/5

To Find : All trigonometric ratios.

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S O L U T I O N :

• sinθ = P/H = 4/5

As We Know That :

• H² = P² + B²

Where,

• H denotes hypotenuse.
• P denotes perpendicular.
• B denotes base.

Now,

=> (5)² = (4)² + (B)²

=> 25 = 16 + B²

=> B² = 25 - 16

=> B² = 9

=> B = √9

=> B = 3 units

Put The Values In The Formula :

• sinθ = P/H = 4/5
• cosθ = B/H = 3/5
• tanθ = P/B = 4/3
• cosecθ = H/P = 5/4
• secθ = H/B = 5/3
• cotθ = B/P = 3/4

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