Summa

• If sin θ = 0.6, what is the value of cos θ?

  Ans: 0.8
• If tan β =1/3, what is cot θ?

  Ans: 3
• What is the simplest form of the expression cos(π2−B)/sin(π2−B)

  Ans: tan B
• What is the simplest form of the expression:

  sec (−θ)/cos(−θ) − -[tan(−θ)]/cotθ

  Ans: 1
• What is the exact value of sin 7π/12

  Ans: $√ 6 +$$√ 2 /4$
• What is the exact value of cos 100° cos 40°+sin 100° sin 40° ?

  Ans: 1/2
• Suppose that cos A = − 24/25 for a Quadrant III angle and sin B = 20/29 for a Quadrant II angle. What is the exact value of sin A?

  Ans: -7/25
• Suppose that cos A = − 24/25 for a Quadrant III angle and sin B = 20/29 for a Quadrant II angle. What is the exact value of cos B?

  Ans: -21/29
• Suppose that cos A = − 24 25 for a Quadrant III angle and sin B = 20 29 for a Quadrant II angle. What is the exact value of sin (A+B)

  Ans: -333/725
• Which expression is identical to cos(x−y)/cos x siny

  Ans: cot y + tan x
• If cos θ = − 5/13 and P(θ) lies in Quadrant III, what is the exact value of cos 2θ?

  Ans: -119/169
• Ans: 1/4

  
• Ans: cos 4x

  
• Ans: sin 2a

  
• Ans: cos 2B

  
• Ans: √2-√2 /2

  
• Ans: -3√10 /10

  
• Ans: -2

  
• Ans: csc 2theta

  
• Ans: cos x

  
• What is the exact value of csc 60°?Ans: 2√3 /3
• Ans: √3 /2

  
• Which equation has no solution?Ans: sin theta = 5
• Ans: √3

  
• Ans: √2/2

  
• What is the value of 𝜃 in the equation tan 𝜃 = 1?Ans: 45 degrees
• What is the value of 𝜃 in the equation cos 𝜃 = 0?Ans: pi/2
• Which is the simplified form of cos 3𝜋 cos 𝜋 + sin 3𝜋 sin 𝜋?Ans: 1
• Ans: √3/2

  
• A hot-air balloon is connected to a meteorological station by a cable of length 200 m inclined at 60°-angle with the ground. What is the height of the balloon from the ground? (Imagine that there is no slack in the cable).

  Ans: 173.2 m
• Ans: pi

  
• Ans: 1/4

  
• Ans: pi/3 to the right

  
• Ans: 1/4 downwards

  
• Ans: (-∞, ∞)

  
• Ans: [-4,4]

  
• Graph of function y = 1/2 cos 2x

  Ans:

  
• What is the sinusoidal function of the graph?

  Ans: y = 1/2 sin 2x

  
• What is the cosine function for a period of 6 and a maximum of 3 at 𝑥=−2 and a lowest point of -1?

  y = 2 cos 2pi/6 (x-2) +1
• Ruby has a pulse rate of 75 beats per minute and a blood pressure of 125 over 83. If Ruby’s blood pressure is modelled by a sinusoidal function, find an equation of this sinusoid?

  𝑦=21sin150𝜋𝑥+104