Question

2sin@=1,then the value of (3cot^2@+3) will be​

Answer 1

Answer:

The value of the expression (3 cot²@ + 3) is 12.

Step-by-step explanation:

It is provided that 2 sin@ = 1.

Then $sin @=\frac{1}{2}$.

Compute the value of cos²@ as follows:

$sin^{2}@+cos^{2}@=1\\(\frac{1}{2} )^{2}+cos^{2}@=1\\cos^{2}@=1-\frac{1}{4}\\= \frac{3}{4}$

Compute the value of the expression (3 cot²@ + 3) as follows:

$3cot^{2}@+3=(3\times\frac{cos^{2}@}{sin^{2}@})+3=(3\times\frac{3/4}{1/4})+3=9+3=12$

Thus, the value of the expression (3 cot²@ + 3) is 12.