Question

IF sinA + cotA = x, then find the value of cos A in terms of x.

Answer 1

Answer:

16cotA=12

cotA=12/16

[cotA=12/16=base/perpendicular]

By PYTHAGORAS THEOREM,

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

⇒(16)²+(12)²=(hypotenuse)²

⇒√(256)+(144)

⇒√400=20

Hence,hypotenuse=20

sinA=perpendicular/hypotenuse=

cosA=base/hypotenuse=