Question

If sinx + cosecx = 2, then find the value of sin5x+cos 5x​

Answer 1

Answer:1

Step-by-step explanation:

• sin x+cosecx=2
• sin x+1/sin x=2
• sin ²x+1=2 sin x
• sin ²x-2 sin x+1=0
• sin x=2 ±√{(-2)²-4×1×1}/2×1
• sin x=2±√0/2
• sin x =1
• sin x= π/2 or 90°

• sin5x+cos 5x
• sin 5(π/2)+cos 5(π/2)
• sin 5π/2+ cos 5π/2
• 1+0=1

Answer 2

Answer:

1

Step-by-step explanation:

That's value of x

sin 5x+ cos 5x

= sin 5×90+cos5×90

= sin 450 + cos 450

= sin 90 + cos 90

= 1+0

= 1