Question

Giải nhanh giúp mik Nếu tan apha =3 thì cos apha bằng bao nhiêu A +- căn 10/10 B căn 10 /10 C - căn 10/10 d 1/3

Answer 1

\(tan\alpha=3\)

\(1+tan^2\alpha=\dfrac{1}{cos^2\alpha}\)

\(\Rightarrow cos\alpha=\pm\sqrt{\dfrac{1}{1+tan^2\alpha}}=\pm\sqrt{\dfrac{1}{1+3^2}}=\pm\dfrac{\sqrt{10}}{10}\)

\(\Rightarrow A\)

Answer 2

`tan a =3 <=> (sina)/(cosa) =3 <=> sina=3cosa`

Có: `sin^2a+cos^2a =1`

`<=> (3cosa)^2 + cos^2a =1`

`<=> 10cos^2a =1`

`<=> cosa = \pm \sqrt10/10`

`=>` A.