Q10 of 164 Page 51

If 3x cosec 36° = sec 54°, then the value of x is

It is given that,

Using

∴

⇒

And so, can be rewritten as

i.e

∴

So, C is the correct option.

Note: Alternatively, the identity could also have been used.

The value of sec 29° – cosec 61° is

If 3x cosec 36° = sec 54°, then the value of x is

The value of sin60° cos30° + cos60° sin30° is equal to