Question

1.Himpunan penyelesaian dari tg 2x = 1, 7321 adalah .... 2.Fungsi trigonometri yang bernilai positif berada pada kuadran 3 adalah .....

Answer 1

(1)

Given : $tan2x=1.7321$

To find : the solution

Solution :

• Here, $tan2x=1.7321$

• $\Rightarrow tan2x=\sqrt{3}$

• $\Rightarrow tan2x=tan(\frac{\pi}{3})$

• $\Rightarrow 2x=\frac{\pi}{3}$

• $\Rightarrow \boxed{x=\frac{\pi}{6}}$

• Again, $tan2x=1.7321$

• $\Rightarrow tan2x=\sqrt{3}$

• $\Rightarrow tan2x=tan(\frac{4\pi}{3})$

• $\Rightarrow 2x=\frac{4\pi}{3}$

• $\Rightarrow \boxed{x=\frac{2\pi}{3}}$

Answer : $x=\frac{\pi}{6},\:\frac{2\pi}{3}$

(2)

The positive trigonometric function located in 3rd quadrant is tangent.

• 1st quadrant --- all positive

• 2nd quadrant --- sine positive

• 3rd quadrant --- cosine positive

• 4th quadrant --- tangne positive