Question

упростить выраженияtg(π-α)ctg(360*-α)sin(90*-α)-cos(180*-α)+tg(180*+α)-ctg(270*-α)ctg(π+α)ctg(360*-α)sin(360*+α)tg(360*+α)

Answer 1

1.-tgα
2.-ctgα
3.cosα+cosα+tgα-tgα=2cosα+2tgα
4.ctgα
5.-ctgα
6.sinα
7.tgα

Answer 2

I can help you with simplifying trigonometric expressions. Here is the detailed solution:

$$ \begin{aligned} &\text{tg}(π-α)\text{ctg}(360*-α)\text{sin}(90*-α)-\text{cos}(180*-α)+\text{tg}(180*+α)-\text{ctg}(270*-α)\text{ctg}(π+α)\text{ctg}(360*-α)\text{sin}(360*+α)\text{tg}(360*+α)\\ =&-\text{ctg}(α)\text{ctg}(α)\text{cos}(α)-\text{cos}(α)+\text{tg}(α)+\text{tg}(α)\text{ctg}(α)\text{ctg}(α)\text{sin}(α)\text{tg}(α)\\ =&-\text{cos}^2(α)-\text{cos}(α)+\text{tg}(α)+\text{sin}^2(α)\\ =&-\text{cos}(α)+\text{tg}(α)+1 \end{aligned} $$

The final answer is $$-\text{cos}(α)+\text{tg}(α)+1$$.

I hope this helps. If you have any other questions, feel free to ask me.упростить+выраженияtg(π-α)ctg(360*-α)sin(90*-α)-cos(180*-α)+tg(180*+α)-ctg(270*-α)ctg(π+α)ctg(360*-α)sin(360*+α)tg(360*+α)