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uranmaximum [27]
2 years ago
5

Pleasee helpp

Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Answer:

the answer is D because "difference" is a key word for subtraction

Step-by-step explanation:

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Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
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Answer:

  A.  {60°, 120°, 420°}

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Step-by-step explanation:

<h3>A.</h3>

The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...

  θ = arcsin(√3/2) = 60°

The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...

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<h3>B.</h3>

One degree is π/180 radians, so the given angle in radians is ...

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This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is

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The 4th-quadrant angle has the same sign, so ...

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Step-by-step explanation:

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