Project ID:
7100020179
Accepted:
Typ:
Layout:
Question:
Priraďte k sebe goniometrické výrazy, ktoré sú rovnaké pre všetky $x \in \left(0,\frac{\pi}{2} \right)$.
Question 1:
$(1+\cos x)(1-\cos x)$
Answer 1:
$\sin^2 x$
Question 2:
$\sin^2 x + \cos^2 x$
Answer 2:
$1$
Question 3:
$\cos^2 x - \sin^2 x$
Answer 3:
$\cos 2x$
Question 4:
$2 \sin x \cos x$
Answer 4:
$\sin 2x$
Question 5:
$1-\sin^2 x$
Answer 5:
$\cos^2 x$
Question 6:
$\mathrm{tg}^2\,x \cdot \mathrm{cotg}\,x$
Answer 6:
$\mathrm{tg}\,x$
Question 7:
$\frac{1}{\cos^2 x}$
Answer 7:
$1+\mathrm{tg}^2 \,x$
Question 8:
$\frac{1}{\sin^2 x}$
Answer 8:
$1+\mathrm{cotg}^2\,x$
Question 9:
$(\sin x + \cos x)^2$
Answer 9:
$1+\sin 2x$