Question

12/ sin 43°+sin 133°

Answer 1

$\frac{12}{sin43+sin133} = \frac{12}{2sin88\cdot cos45}= \frac{6}{sin(90-2)\cdot \frac{\sqrt2}{2}} = \frac{6\cdot 2}{\sqrt2\cdot cos2} = \frac{6\sqrt2}{cos2}$


$\frac{12}{sin^243+sin^2133} = \frac{12}{sin^243+sin^2(90+43)} = \frac{12}{sin^243+cos^243}=\frac{12}{1}=12$

Answer 2

To calculate the value of the expression:

12 / sin(43°) + sin(133°)

You can follow these steps:

1. Calculate the sine of 43°:

sin(43°) ≈ 0.681998

2. Calculate the sine of 133°:

sin(133°) ≈ 0.909632

3. Now, substitute these values into the expression:

12 / 0.681998 + 0.909632

4. Perform the division and addition:

12 / 0.681998 + 0.909632 ≈ 17.57 + 0.909632 ≈ 18.479632

So, the value of the expression is approximately 18.479632.