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If x = a cosθ + b sinθ and y = a sinθ - b cosθ then what is x2 + y2 equal to? |
| A) 2ab B) a + b C) a2 + b2 D) a2 - b2 Correct Answer : a2 + b2 Explanation : x2 + y2 = (a cosθ + b sinθ)2 + (a sinθ - b cosθ)2 |
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What is the value of cot 4π/3 ? |
| A) 1/√3 B) -√3 C) -1 D) √3 Correct Answer : 1/√3 Explanation : cot 4π/3 |
What is the value of sinx √( 1 /1+cosx + 1 /1-cosx ) ? |
| A) √2 B) 2√2 C) √2 tanx D) 0 Correct Answer : √2 Explanation : sinx √( 1 /1+cosx + 1 /1-cosx ) |
What is cos4 A - sin4 A / cos2 A - sin2 A equal to? |
| A) cos2 A - sin2 A B) cos A - sin A C) 1 D) 2 Correct Answer : 1 Explanation : cos4 A - sin4 A / cos2 A - sin2 A |
If 7sin2 x +3cos2 x = 4, 0 < x < 90º ,then what is the value of tan x? |
| A) √2 B) 1 C) √3/2 D) 1/√3 Correct Answer : 1/√3 Explanation : 7sin2 x +3cos2 x = 4 |
2 tan 45° /( 1+ tan2 45°) = ? |
| A) sin 90° B) tan 30° C) tan 90° D) sin 45° Correct Answer : sin 90° Explanation : 2 tan 45° /( 1+ tan2 45°) |
If sinA= 8/17 and cosA=15/17, then cotA=? |
| A) 17/8 B) 8/15 C) 17/15 D) 15/8 Correct Answer : 15/8 Explanation : As given sinA = 8/17 = perpendicular/hypotenuse tanA = sinA/cosA = perpendicular/base = 8/15 |