Question

If sinx+cosx=6/5, then find the value of sinxcox

Answer 1

Answer:

sinx. cos x = 11/50

Step-by-step explanation:

given:

sin x + cos x = 6/5

squaring both sides

(sin x + cos x)^2 = 36/25

sin^2x + 2sin x. cos x + cos^2x = 36/25

sin^2x + cos^2x + 2 sin x.cosx = 36/25.

1 + 2 sin x. cos x = 36/25

2 sin x. cos x = 36/25 - 1

2 sin x. cos x = 11/25

sin x. cos x = 11/25 × 1/2

sin x. cos x = 11/50.