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Introduction to Trigonometry

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Q. A ladder leans against a wall making a 75-degree angle with the ground. If the foot of the ladder is 4 meters from the wall, how high does the ladder reach on the wall?
  • A. 3.87 m
  • B. 4.00 m
  • C. 4.58 m
  • D. 5.00 m
Q. A tree casts a shadow of 10 meters when the angle of elevation of the sun is 30 degrees. How tall is the tree?
  • A. 5 m
  • B. 10 m
  • C. 15 m
  • D. 20 m
Q. If cos(θ) = 0.6, what is sin(θ) using the Pythagorean identity?
  • A. 0.8
  • B. 0.6
  • C. 0.4
  • D. 0.2
Q. If tan(θ) = 3/4, what is sin(θ)?
  • A. 3/5
  • B. 4/5
  • C. 5/3
  • D. 5/4
Q. What is the inverse of sin(1/2)?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. What is the sine of a 30-degree angle?
  • A. 0
  • B. 0.5
  • C. 0.707
  • D. 1
Q. What is the value of cos(60°)?
  • A. 0
  • B. 0.5
  • C. 1
  • D. √3/2
Q. What is the value of sin(90°)?
  • A. 0
  • B. 0.5
  • C. 1
  • D. undefined
Q. What is the value of tan(45°)?
  • A. 0
  • B. 1
  • C. √2
  • D. undefined
Q. Which of the following is the correct identity for sin²(θ) + cos²(θ)?
  • A. 1
  • B. 0
  • C. sin(θ)
  • D. cos(θ)
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