Unit 5 - Analytic Trigonometry

• csc²θ
• sec²θ
• cscθ
• 1

Find all solutions.
 $3\sec^2x\ -\ 4\ =\ 0$  

•   $\frac{\pi}{3}+\pi n;\ \frac{2\pi}{3}+\pi n$   

•  $\frac{\pi}{6}+\pi n;\ \frac{5\pi}{6}+\pi n$  

• 225º, 315º

•  $\frac{\pi}{2}+\pi n;\ \frac{3\pi}{2}+\pi n$  

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

sin(90⁰-θ) = 

• cosθ
• cscθ
• secθ
• tanθ

What is the value of sin210^ocos30^o - cos210^osin30^o is

• 0
• -1
• 1
• sin240^o

• -1
• sin θ
• csc θ
• 1

Which of the following is NOT a Pythagorean identity?

• $\tan^2x+1=\sec^2x$

• $\cos2x\ =\ \cos^2x-\sin^2x$

• $\sin^2x\ +\ \cos^2x=1$

• $1+\cot^2x\ =\ \csc^2x$

Which of the following is false?

• $\sin\left(-x\right)=-\sin\left(x\right)$

• $\cos\left(-x\right)=-\cos\left(x\right)$

• $\tan\left(-x\right)=-\tan\left(x\right)$

• $\cot\left(-x\right)=-\cot\left(x\right)$

Which of the following is false?

•  $\sin\left(a+b\right)=\sin a\cos b-\cos a\sin b$  

•  $\cos\left(a-b\right)=\cos a\cos b+\sin a\sin b$  

•  $\tan\left(a+b\right)=\frac{\tan a+\tan b}{1-\tan a\tan b}$  

•  $\tan\left(a-b\right)=\frac{\tan a-\tan b}{1+\tan a\tan b}$  

 $\sin\left(105\degree\right)$  

•  $\frac{\left(\sqrt{6}+\sqrt{2}\right)}{4}$  

•  $\frac{\left(\sqrt{6}-\sqrt{2}\right)}{4}$  

•  $\frac{\left(\sqrt{2}-\sqrt{6}\right)}{4}$  

• 1