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objective Ques (310 results)
1)

If \(6tan\theta-5\sqrt3sec\theta+12cot\theta=0\) where, \(0 <\theta< 90\), then value of \(cosec\theta +sec\theta\) is:

SSC CGL 2020
A)

\({3+2\sqrt3 \over 2}\)

B)

\({3+\sqrt3 \over 2}\)

C)

\({2(3+2\sqrt3) \over 3}\)

D)

\({2(3+\sqrt3) \over 3}\)

2)

In a right triangle shown in the figure, what is the value of \(cosec\theta\) ?

SSC CGL 2020
A)

13/5

B)

12/13

C)

5/13

D)

5/11

3)

If sin\({\theta}\) = \( { \sqrt3}\) cos\({\theta}\), 0°< \({\theta}\) < 90º , then the value of (\(2sin^2{\theta}+sec^2{\theta}\)\(+sin{\theta}sec{\theta}+cosec{\theta}\)) is:

SSC CGL 2019
A)

\( {33+10\sqrt3 \over 6}\)

B)

\( {19+10\sqrt3 \over 6}\)

C)

\( {33+10\sqrt3 \over 3}\)

D)

\( {19+10\sqrt3 \over 3}\)

4)

The value of the expression (\({cos^6\theta+sin^6\theta-1}\)) (\({tan^2\theta+cot^2\theta+2}\)) is :

SSC CGL 2019
A)

0

B)

-1

C)

-3

D)

1

5)

\({(2sinA)(1+sinA)}\over{1+sinA+cosA}\) is equal to :

SSC CGL 2019
A)

1 + sin A - cos A

B)

1 - sin A cos A

C)

1 + cos A - sin A

D)

1 + sin A cos A

6)

The value of \({(cos9^0 + sin81^0)(sec9^0 + cosec81^0)} \over {sin56^0sec34^0 + cos25^0cosec65^0}\) is :

SSC CGL 2019
A)

4

B)

\({1\over2}\)

C)

2

D)

\({1 \over 4}\)

7)

If \(\theta\) lies in the first quadrant and \({(cos^2\theta-sin^2\theta)}={1\over 2}\), then the value of \({tan^22\theta+sin^23\theta}\) is :

SSC CGL 2019
A)

\({7\over 2}\)

B)

3

C)

4

D)

\({4\over 3}\)

8)

What is the value of \(cosec(65^0+\theta)-\)\(sec(25^0-\theta)+\)\(tan^220^0-\)\(cosec^270^0\) ?

SSC CGL 2019
A)

0

B)

1

C)

2

D)

-1

9)

\({(1+cos\theta)^2+sin^2\theta\over (cosec^2\theta-1)sin^2\theta}=?\)

SSC CGL 2019
A)

\(cos\theta(1+sin\theta)\)

B)

\(2cos\theta(1+sec\theta)\)

C)

\(sec\theta(1+sin\theta)\)

D)

\(2sec\theta(1+sec\theta)\)

10)

\(({1-tan\theta\over 1- cot\theta})^2+1=?\)

SSC CGL 2019
A)

\(cosec^2\theta\)

B)

\(sec^2\theta\)

C)

\(sin^2\theta\)

D)

\(cos^2\theta\)

showing 1 - 10 results of 310 results

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