Simplify 2sin(5x)cos(3x) - sin(2x) to one an expression containing one trigonometric function. Then graph the original function and your simplified version to verify they are identical. Enclose arguments of functions in parentheses. For example, sin(2x). 2sin(5x)cos(3x)-sin(2x)=

If \( \csc \theta=\frac{x+1}{x}, x>0 \), then \( \cot \theta= \)

Вариант 6 1. Представить в тригонометрической и в показательной форме число \( z=-1-i \sqrt{3} \).

Da un punto \( P \) esterno a una circonferenza di centro \( C \) si mandano le tangenti \( P A \) e \( P B \). Sapen- do che \( \cos \wedge \widehat{P B}=-\frac{7}{25} \) e che \( P C=15 \mathrm{~cm} \), de- termina i valori delle funzioni goniometriche de- gli angoli \( C \widehat{P A} \) e \( P \widehat{C} A \) e il raggio della circonfe- renza. \( \left[\sin C P A=\frac{4}{5} ; \sin P \widehat{C A}=\frac{3}{5}, r=12 \mathrm{~cm}\right] \)

What is the definition of the cosine function in relation to a right triangle using the adjacent side and hypotenuse?

If \( x \) is in the third quadrant, then \( \cot x \) in terms of \( \sec x \) is A) \( \frac{\sqrt{\sec ^{2} x-1}}{\sec ^{2} x-1} \) B) \( -\frac{\sqrt{\sec ^{2} x-1}}{\sec ^{2} x-1} \) C) \( -\frac{\sqrt{\sec ^{2} x+1}}{\sec ^{2} x-1} \)