Question

if cosec4x=sec5x then sin3x +cos 6x​

Answer 1

Answer:

sec (90 – 4x) = sec 5x

x = 10

sin30 +cos60 = 1/2+1/2= 1

Answer 2

Given:

cosec4x = sec5x

To Find:

The value of sin3x +cos 6x​.

Solution:

cosec 4x can be written as sec (90 -4x).

So,

sec (90 - 4x) = sec 5x.

Which means, 90 - 4x = 5x.

90 = 5x + 4x.

9x = 90.

x = 10.

Now, sin3x +cos 6x​ will become,

sin(3×10) + cos (6×10).

sin 30 + cos 60.

1.

Hence, the value of sin3x +cos 6x​ is 1.