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2 tan 45° /( 1+ tan^{2} 45°) = ? 
A) sin 90° B) tan 30° C) tan 90° D) sin 45° Correct Answer : sin 90° Explanation : 2 tan 45° /( 1+ tan^{2} 45°) 
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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 /1cosx ) ? 
A) √2 B) 2√2 C) √2 tanx D) 0 Correct Answer : √2 Explanation : sinx √( 1 /1+cosx + 1 /1cosx ) 
What is cos^{4} A  sin^{4} A / cos^{2} A  sin^{2} A equal to? 
A) cos^{2} A  sin^{2} A B) cos A  sin A C) 1 D) 2 Correct Answer : 1 Explanation : cos^{4} A  sin^{4} A / cos^{2} A  sin^{2} A 
If 7sin^{2} x +3cos^{2} 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 : 7sin^{2} x +3cos^{2} x = 4 
If x = a cosθ + b sinθ and y = a sinθ  b cosθ then what is x^{2} + y^{2} equal to? 
A) 2ab B) a + b C) a^{2} + b^{2} D) a^{2}  b^{2} Correct Answer : a^{2} + b^{2} Explanation : x^{2} + y^{2 }= (a cosθ + b sinθ)^{2} + (a sinθ  b cosθ)^{2} 
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 