SSC CGL Mains Trigonometry Questions : 30th July

Dear aspirants,

As you all know, the upcoming months are lined up with various important exams like SSC CGL Mains 2018, so we are here to help you with the subject that is common to all of the given exams. We are providing daily quantitative aptitude quizzes, practice which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation.

Q1. What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?
[(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)] का मान ज्ञात करें
(a) 1
(b) 2 tan x
(c) tan 2 x
(d) tan (3x/2)

S1. Ans.(B)
Sol. GIVEN

⇒ tan⁡x+tan⁡x=2 tan⁡x

Q2. Sin x +√3 cos x is maximum when
Sin x +√3 cos x का मान अधिकतम कब होगा?
(a) x = 30°
(b) x = 0°
(c) x = 45°
(d) x = 60°

S2. Ans.(a)
Sol.

Q3. What is the value of [(cos³ 2θ + 3 cos 2θ)÷(cos⁶ θ – sin⁶ θ)]?
[(cos³ 2θ + 3 cos 2θ)÷(cos⁶ θ – sin⁶ θ)] का मान ज्ञात करें
(a) 0
(b) 1
(c) 4
(d) 2

S3. Ans.(C)
Sol. GIVEN

Q4. If sin4θ + cos4θ = 2sin2θcos2θ. θ is an acute angle, then value of (tanθ +cotθ) is
यदि sin4θ + cos4θ = 2sin2θcos2θ है. Θ एक न्यून कोण है, तो (tanθ +cotθ) का मान क्या होगा?
(a) √2
(b) 1
(c) 3/5
(d) 2

S4. Ans.(d)
Sol.
Given,

Q5. If θ be acute angle and cos θ =15/17, then the value of cot (90° – θ) is
यदि θ न्यून कोण है और cos θ =15/17, तो cot (90° – θ) का मान क्या है?
(a) (2√8)/15
(b) 8/15
(c) √2/17
(d) (8√2)/17

S5. Ans.(b)
Sol. Given,
cosθ=15/17 ■(←@←) Base/Hypo

Q6. If a sinθ+bcosθ=c, then find the value of a cosθ-bsinθ
यदि a sinθ+bcosθ=c, तो cosθ-bsinθ का मान ज्ञात करें
(a)
(b)
(c)
(d)

S6. Ans.(c)

 

 

(a) 1
(b) 2
(c) 0
(d) 4

S7. Ans.(b)

Q8.


(a) 7/12
(b) 1/2
(c) 5/12
(d) 1

S8. Ans.(a)

Q9. The least value of 2sin²θ + 3cos²θ is :
2sin²θ + 3cos²θ का न्यूनतम मूल्य क्या है?
(a) 1/2
(b) 1
(c) 2
(d) 3

S9. Ans.(c)
Sol. We known
a sin²θ + b cos²θ
If a < b, then minimum value = a
Here,
2 sin²θ + 3 cos²θ
∵ 3 > 2 → minimum value = 2

Q10.

 
(a) 1
(b) 0
(c) cot A/2
(d) – 1

S10. Ans.(D)
Sol.
Value of

 

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