Trigonometry 0606

State the amplitude of $1-4\sin\left(2x\right)$  

(a)  

 State the period of $5\tan\left(3x\right)+1$ 

•  $45\degree$  

•  $60\degree$  

•  $90\degree$  

•  $180\degree$  

Solve $2\cos\left(3x\right)=\cot\left(3x\right)$ for  $0\degree\le x\le90\degree$   

•  $10\degree$  

•  $20\degree$  

•  $30\degree$  

•  $40\degree$  

•  $50\degree$  

Solve the equation $2\operatorname{cosec}x+\frac{7}{\cos x}=0$  for  $0\degree\le x\le360\degree$  

(a)  

Solve the equation $7\sin\left(2y-1\right)=5$  for  $0\le y\le5$  radians (3sf)

• 0.898, 1.67

• 0.9, 1.7

• 0.898, 1.67, 4.04, 4.81

• 0.898, 1.67, 4.04
  

The diagram shows a sketch of the curve $y=a\sin\left(bx\right)+c$  for  $0\degree\le x\le180\degree$  .
Find the value of a.

(a)  

The diagram shows a sketch of the curve  $y=a\sin\left(bx\right)+c$  for  $0\degree\le x\le180\degree$  .

Find the value of b.

(a)  

The diagram shows a sketch of the curve $y=a\sin\left(bx\right)+c$ for  $0\degree\le x\le180\degree$  .

Find the value of c. 

(a)  

 $\frac{1}{\cos x}=$  

(a)  

 $\frac{\sin^2x}{\cos x}=$  

•  $\sin x\ \tan x$  

•  $\frac{\sin x}{\tan x}$  

•  $1-\cos x$  

•  $1-\cos^2x$