Sine Cosine Tangent to Find Angle

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4

• 55.2

• 20.15

• 19.4

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• 30°

• 45°

• 60°

• 90°

Consider SOH - CAH - TOA, what does TOA stand for?

• sin⁡θ=oppositehypotenuse\sin\theta=\frac{opposite}{hypotenuse}

  sinθ=hypotenuse

  
  

  opposite

  ​

• cos⁡θ=adjacenthypotenuse\cos\theta=\frac{adjacent}{hypotenuse}

  cosθ=hypotenuse

  
  

  adjacent

  ​

• tan⁡θ=oppositeadjacent\tan\theta=\frac{opposite}{adjacent}

  tanθ=adjacent

  
  

  opposite

  ​

• tan⁡θ=sin⁡θcos⁡θ\tan\theta=\frac{\sin\theta}{\cos\theta}

  tanθ=cosθ

  
  

  sinθ

  ​

What is the ratio for Sine?

• Hyp/Opp

• Opp/Hyp

• Opp/Adj

• Adj/Opp

Match the following

• 6/10

• Tan(37^o)

• 8/10

• Cos(37^o)

• 6/8

• Sin(37^o)

• sin Z

• cos Z

• tan Z