Dobrze jest?
\(\displaystyle{ cos a+ \frac{tg a}{sin a cos a } = \frac{1}{sin a} +\frac{1}{cos ^{2} a}}\)
\(\displaystyle{ cos a+ \frac{ \frac{sin a}{cos a} }{sin a cos a } = \frac{1}{sin a} +\frac{1}{cos ^{2} a }}\)
\(\displaystyle{ cos a+ \frac{1}{cos ^{2} a} = \frac{1}{sin a} +\frac{1}{cos ^{2} a }}\)
Z czego wynika,że
\(\displaystyle{ L P}\)
a założenia to:
\(\displaystyle{ sin a cos a 0}\)
\(\displaystyle{ sin a 0}\)
\(\displaystyle{ cos ^{2} a 0}\)
\(\displaystyle{ \frac{tg a}{sin a cos a } = tg \frac{1}{sin a cos a} = \frac{sin a}{cos a} \frac{1}{sin a cos a} = \frac{1}{cos ^{2}a }}\)
