Ratios & Graphs Trigonometric Functions

Which of the following is not the pair of angle $\theta$  and its corresponding reference angle,  $\alpha$  

•  $\theta=206\degree\ ,\ \alpha=26\degree$  

•  $\theta=337\degree,\ \alpha=23\degree$  

•  $\theta=112\degree,\ \alpha=68\degree$  

•  $\theta=195\degree,\ \alpha=75\degree$  

The diagram below shows a unit circle. State the possible values of a and b.

• $a=0.9397,\ b=0.3420$

• $a=0.9397,\ b=-0.3420$

• $a=-0.9397,\ b=0.3420$

• $\alpha=-0.9397,\ b=-0.3420$

Find the value of  $\sin\ 30\degree-\cos\ 30\degree$  

•  $\frac{1-\sqrt{3}}{2}$  

•  $-\frac{1-\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}-1}{2}$  

•  $-\frac{1+\sqrt{3}}{2}$  

Given that cos θ = –0.6611 and 180° ≤ θ ≤ 360°, find the value of θ.

Diberi bahawa kos θ = –0.6611 dan 180° ≤ θ ≤ 360°, cari nilai θ.

• 131°23ʹ

• 138°37ʹ

• 221°23ʹ

• 228°37ʹ

Given  $\cos\ x=\frac{3}{5}$  where  $270\degree\le x\le360\degree.\$  find the values of  $\tan\ x$  

•  $-\frac{4}{3}$  

•  $-\frac{3}{4}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

In the diagram above, BCD is a straight line. Find the value of cos x.

Dalam rajah di atas, BCD ialah garis lurus. Cari nilai kos x

• $-\frac{12}{13}$

• $-\frac{5}{13}$

• $-\frac{5}{12}$

• $-\frac{12}{5}$

In the diagram above, QRS is a straight line. Find the value of cos x.

Dalam rajah di atas, QRS ialah garis lurus. Cari nilai kos x.

• $-\frac{15}{17}$

• $-\frac{8}{17}$

• $\frac{8}{17}$

• $\frac{15}{17}$

In the diagram above, KLM is a right-angled triangle. It is given that KM = 17 cm, JL = 30 cm and K is the midpoint of JL. Find the value of tan y.

Dalam rajah di atas, KLM ialah sebuah segi tiga bersudut tegak. Diberi bahawa KM = 17 cm, JL = 30 cm dan K ialah titik tengah bagi JL. Cari nilai tan y.

• $-\frac{8}{17}$

• $-\frac{8}{15}$

• $-\frac{15}{8}$

• $-\frac{17}{8}$

The diagram above shows the graph of y = cos x. Find the value of p.

Rajah di atas menunjukkan graf bagi y = kos x. Cari nilai p.

• 90°

• 180°

• 270°

• 360°

Which of the following graphs represents y = sin 2x?

Antara yang berikut, yang manakah mewakili graf y = sin 2x?

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