Flashcards
MTH108 - 5.2
Cards in this deck (20)
- 1sine, cosine, tangent
- 2cotangent, secant, and cosecant
- 3Special Right Triangle 1 Half of equilateral triangle 1HYP = 2*ShortLeg
long leg = sqrt3* shortleg
short leg = HYP/2 or longleg/sqrt3
- 4Special Right Triangle 1 Half of equilateral triangle 2
- 5Special Right Triangle 2 45degree - 45degree right triangle 1:HYP = sqrt2*leg
length of leg = HYP/sqrt2
- 6Special Right Triangle 2 45degree - 45degree right triangle 2:
- 7reciprocal identities
- 8reciprocal identity proofs
- 9Special Values of the Trigonometric Functions
- 10The Pythagorean identities
- 11Pythagorean identities proof
- 12Pythagorean quotient identities
- 13Definition of the Trigonometric Functions of Any Angle 1
- 14Definition of the Trigonometric Functions of Any Angle 2
- 15Definition of the Trigonometric Functions of Any Angle 3
- 16Signs of the Trigonometric Function
- 17The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several miles away, notes that the angle between level ground and the peak is 35°. Estimate the distance from the student to the point on level ground directly beneath the peak.
- 18A forester, 150 feet from the base of a redwood tree, observes that the angle between the ground and the top of the tree is 60°. Estimate the height of the tree. (Round your answer to one decimal place.)
- 19Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over 99,000 pounds each. Lifting a single stone required 550 people, who pulled the stone up a ramp inclined at an angle of 9°. Approximate the distance that a stone was moved in order to raise it to a height of 33 feet. (Round your answer to the nearest whole number.)
- 20Two stars that are very close may appear to be one. The ability of a telescope to separate their images is called its resolution. The smaller the resolution, the better a telescope's ability to separate images in the sky. In a refracting telescope, resolution θ (see the figure) can be improved by using a lens with a larger diameter D. The relationship between θ in degrees and D in meters is given by sin θ = 1.22λ/D, where λ is the wavelength of light in meters. The largest refracting telescope in the world is at the University of Chicago. At a wavelength of λ = 550 × 10−9 meter, its resolution is approximately 0.00003757°. Approximate the diameter of the lens. (Round your answer to two decimal places.)
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- Flashcards on MTH108 - 5.2, created by Bob Harold on 26/05/2020.
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- Bob Harold
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