1. The amplitude of the graph of the equation, y = 3 sin(x/4) is?
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Correct answer is option - 3
Explanation: The amplitude of the graph of an equation, y = A sin(Bx) is | A |.
This implies that for the equation, y = 3 sin(x/4), the amplitude is | 3| = 3.
2. The period of the curve, y = 2 sin(4x) is?
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Correct answer is option - 4
Explanation:The period of the graph of the equation, y = A sin(Bx) is 2π/B.
This implies that, period = 2π/4 ==> π/2.
3. What is the degree measure of the angle 7π/6 radians?
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Correct answer is option - 2
Explanation:7π/6 radians can be written in radian measure as (7π/6) * (180°/π).
This can be simplified to 7 * 180°/6 which can be further simplified to 210°.
4. The trigonometric expression, sin80° cos50° - cos80° sin50° is also equal to which of the following?
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Correct answer is option - 1
Explanation: Here we can use the formula sinAcosB –cosAsinB = sin (A - B).
This implies that sin80° cos50° - cos80° sin50°= sin (80° - 50°) ==> sin30°
5. In the fourth quadrant, which among the following trigonometric functions is positive?
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Correct answer is option - 2
Explanation: In the fourth quadrant, both cosθ and secθ are positive.
Since cosθ is not given in the options, secθ is the only right answer.