Writing Trigonometric Equations

Writing Trigonometric Equations

SOH-CAH-TOA

memory trick to find sine, cosine, and tangent ratios

Multiple Choice

 Find sinA

• 32/40
• 32/24
• 24/40
• 24/32

Multiple Choice

 FInd tanX

• 32/40
• 40/24
• 32/24
• 24/32

Multiple Choice

 Find cosA

• 30/16
• 30/34
• 30/15
• 16/34

Trigonometric Equations

Use given angle measure and SOH-CAH-TOA to write equations.

Special Right Triangles

Trigonometric equations for

 $\theta$  = 30, 45, 60 degrees

Multiple Choice

Which equation would solve for side x?

• $\sin\left(39\right)=\frac{x}{7}$

• $\cos\left(39\right)=\frac{x}{7}$

Multiple Choice

Which equation would solve for side x?

• $\sin\left(46\right)=\frac{8}{x}$

• sin(46)= $\frac{x}{8}$

Multiple Choice

Which equation would solve for side x?

• 
  

  $\cos\left(27\right)=\frac{10}{x}$

• $\tan\left(27\right)=\frac{x}{10}$

Multiple Choice

Which equation would solve for side x?

• $\tan\left(46\right)=\frac{x}{7}$

• $\tan\left(46\right)=\frac{7}{x}$

Multiple Choice

Which equation would solve for side x?

•  $\sin\left(20\right)=\frac{x}{40}$  

•  $\sin\left(40\right)=\frac{x}{20}$  

Multiple Choice

Which equation would solve for side x?

• $\cos\left(63\right)=\frac{23}{x}$

• $\cos\left(63\right)=\frac{x}{23}$

Multiple Choice

Which equation would solve for side x?

• $\sin\left(43\right)=\frac{x}{22}$

• $\tan\left(43\right)=\frac{x}{22}$

Multiple Choice

Which equation would solve for side x?

• $\cos\left(x\right)=\frac{7}{39}$

• $\cos\left(39\right)=\frac{x}{7}$

Multiple Choice

Which equation would solve for side x?

• $\tan\left(54\right)=\frac{x}{12}$

• $\cos\left(54\right)=\frac{x}{12}$

Multiple Choice

Which equation would solve for side x?

• $\tan\left(23\right)=\frac{x}{6}$

• $\tan\left(23\right)=\frac{6}{x}$

Multiple Choice

Which equation would solve for the height of the tree?

• $\sin\left(49\right)=\frac{x}{76}$

• $\tan\left(49\right)=\frac{x}{76}$