Question

Решить (sint/tgt) ^2+(cost/ctgt) ^2
10 класс

Answer 1

$\Big(\dfrac{Sint}{tgt}\Big)^{2}+\Big(\dfrac{Cost}{Ctgt}\Big)^{2}=\Big(\dfrac{Sint\cdot Cost}{Sint}\Big)^{2}+ \Big(\dfrac{Cost\cdot Sint}{Cost}\Big)^{2}=\\\\\\=Cos^{2}t+Sin^{2}t=\boxed1$