Trigonometry Pure Math 1

Which of the following match the equation

y = tan(x +45)

• A

• B

• C

• D

Which of the graphs matches the equation y = 2sinx

• A

• B

• C

• D

Which of the graphs represent the equation

y = cos2x

• A

• B

• C

• D

The minimum value of  $\frac{1}{2\left(\cos\theta+\frac{\pi}{4}\ \right)}$  is

• -1

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

• -2

If  $\cos A=\frac{3}{5}$  and  A is acute, then sin 2A = 

•  $\frac{6}{25}$  

•  $\frac{8}{25}$  

•  $\frac{12}{25}$  

•  $\frac{24}{25}$  

 $\cos\theta+3\sin\theta=2$  can be expressed as 

•  $4\cos\left(\theta-\tan^{-1\ }\left(\frac{1}{3}\right)\right)=2$  

•  $2\cos\left(\theta+\tan^{-1\ }\left(3\right)\right)=2$  

•  $\sqrt{10}\cos\left(\theta-\tan^{-1}\left(3\right)\right)=2$  

•  $\sqrt{10}\cos\left(\theta+\tan^{-1}\left(\frac{1}{3}\right)\right)=2$  

• A

• B

• C

• D

• A

• B

• C

• D

The function can be simplified to $\sin\left(x+\frac{\pi}{2}\right)$  

• A

• B

• C

• D

 $2\sin\theta\cos\phi$  is equivalent to 

• A

• B

• C

• D