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  • SSC CGL Exam Quantitative Aptitude Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Quantitative Aptitude Trigonometry for SSC CGL Exam student. This free online Quantitative Aptitude study material for SSC CGL Exam will help students in learning and doing practice on Trigonometry topic of SSC CGL Exam Quantitative Aptitude. The study material on Trigonometry, help SSC CGL Exam Quantitative Aptitude students to learn every aspect of Trigonometry and prepare themselves for exams by doing online test exercise for Trigonometry, as their study progresses in class. Kidsfront provide unique pattern of learning Quantitative Aptitude with free online comprehensive study material and loads of SSC CGL Exam Quantitative Aptitude Trigonometry exercise prepared by the highly professionals team. Students can understand Trigonometry concept easily and consolidate their learning by doing practice test on Trigonometry regularly till they excel in Quantitative Aptitude Trigonometry.


Trigonometry
In the given Figure, PAB is a secant and PT is a tangent to the circle from P. If PT=5 cm, PA=4 cm and AB=x cm then x is

a) 4/9cm
b) 9/4cm
c) 5cm
d) 2/3cm



Answer
Solution
Correct Answer Is : 9/4cm
Solution Is :
If A is an acute angle and cot A+cosec A=3, then the value of sin A is

a) 1
b) `3/5
c) `4/5
d) 0



Answer
Solution
Correct Answer Is : `3/5
Solution Is :
In a given circle, the chord PQ is of length 18cm, AB is the perpendicular bisector of PQ at M. If MB=3, them the length of AB is

a) 27cm
b) 30cm
c) 28cm
d) 25cm



Answer
Solution
Correct Answer Is : 30cm
Solution Is :
If sec x+cosx=2 then the value of sec^16x+cos^16x will be

a) √3
b) 2
c) 1
d) 0



Answer
Solution
Correct Answer Is : √3
Solution Is :
The minimum value of 2sin2θ +3cos2θ is

a) 1
b) 3
c) 2
d) 4



Answer
Solution
Correct Answer Is : 2
Solution Is : Given that
2sin2θ+ 3cos2θ
= 2(1 - cos2θ) + 3cos2θ
= 2 - 2cos2θ+ 3 cos2θ
= 2 + cos2θ
For minimum value cosθ = 0
Minimum value of 2sin2θ + 3 cos2θ= 2
The value of sin2 22° + sin 268° + cot2 30° is

a) 3/4
b) 4
c) 5/4
d) 3



Answer
Solution
Correct Answer Is : 4
Solution Is : Sin222°+sin268°+cot230°
⇒ sin2(90-68)°+sin268°+cot230 °
⇒ cos268°+sin268°+cot230° =1+(?3)2
1+3 =4
If 5sinθ = 3, the numerical value of (secθ - tanθ)/(secθ+tanθ)

a) 1/3
b) 1/2
c) 1/4
d) 1/5



Answer
Solution
Correct Answer Is : 1/4
Solution Is :
A kite is flying at the height of 75m from the ground. The string makes an angle θ (where cotθ = 8/15) with the level ground. Assuming that there is no slack in the string the length of the string is equal to :

a) 75m
b) 85m
c) 40m
d) 65m



Answer
Solution
Correct Answer Is : 85m
Solution Is :
If Secθ + tanθ = p, (p≠ 0) then secθ is equal to

a) (P +1/P), P≠ 0
b) 1/2(P +1/P), P≠ 0
c) 2(P -1/P), P≠ 0
d) (P -1/P), P≠ 0



Answer
Solution
Correct Answer Is : 1/2(P +1/P), P≠ 0
Solution Is : Secθ+ tanθ = p ...(i)
We know that sec2θ - tan2θ = 1
⇒(secθ - tanθ) (secθ + tanθ) = 1
Now, Put the value of secθ+ tanθ = p
secθ - tanθ = 1/p ...(ii)
Now, solving eqn. (i) and (ii)
secθ =1/2(p+(1/p))
If 1 + cosθ = 3 sinθcosθ, then the integral value of cot?θ (0<θ<π/2)

a) 1
b) 2
c) 0
d) 3



Answer
Solution
Correct Answer Is : 1
Solution Is :
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