Question

If sinA = 4/5, find other trigonometric ratios​

Answer 1

Answer:

If sin A =4/5,then perpendicular =4 and hypotenuse =5 as sin =perpendicular/hypotenuse

Explanation:

The base=3

1. Cosa=b/h=3/5
2. tana=p/b=4/3
3. coseca=h/p=5/4
4. seca=h/b=5/3
5. cota=b/p=3/4

Answer 2

To find :

• we need to find other Trignometric ratios.

Solution :

• Sin A = 4/5

We know that,

›› sin A = Perpendicular/Hypotenuse

So,

• ›› Perpendicular = 4
• ›› Hypotenuse = 5

By Pythagoras theorem : -

›› Hypotenuse² = base² + perpendicular ²

›› 5² = b² + 4²

›› 25 = b² + 16

›› 25 - 16 = b²

›› 9 = b²

›› base = √9

›› Base = 3

Now,

• Cos A = Base/hypotenuse

›› Cos A = 3/5

• Tan A = perpendicular/base

›› Tan A = 4/3

• Cot A = base/perpendicular

›› Cot A = 3/4

• Cosec A = hypotenuse/perpendicular

›› Cosec A = 5/4

• Sec A = Hypotenuse/base

›› Sec A = 5/3

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