Higher Study | Quantitative Aptitude | Trigonometry

Which of the following is not a Pythagorean triplet?

ক

12, 16, 20

খ

21, 28, 35

গ

33, 44, 55

ঘ

4, 5, 6

What is the simplified value of cosec 2A + cot 2A?

ক

sec A

খ

sec (A\/2)

গ

cot A

ঘ

cot2 A

A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?

ক

6.2 m

খ

6.5 m

গ

6.8 m

ঘ

\7.5 m

What is the value of Cot 60 - Sec 30?

ক

-1\/3

খ

-1\/\u221a3

গ

1\/\u221a3

ঘ

1\/3

What is the value of cos15° - cos165°?

ক

$$\frac{{\sqrt 3 }}{{\sqrt 2 }}$$

খ

$$\frac{2}{{\sqrt 3 - 1}}$$

গ

$$\frac{{\sqrt 3 + 1}}{{\sqrt 2 }}$$

ঘ

$$\frac{{\sqrt 3 + 1}}{2}$$

If cosϕ = p/q and sinθ = r/s , then, find the value of sin(θ – ϕ)?

ক

[rp - √{(s<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – r<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)(q<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – p<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)}]/qs

খ

[rp - √{(s<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – r<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)(q<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – p<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)}]/rp

গ

[rp + √{(s<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – r<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)(q<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – p<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)}]/qs

ঘ

[rp - √{(s<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> – r<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)(q<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span> + p<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>)}]/qs

If secθ - tanθ = p, then secθ is equal to:

ক

p + 1/p

খ

1 - 1/p

গ

2/p + 1/(2p)

ঘ

p/2 + 1/(2p)

Find the maximum value of sinθ × cosθ.

ক

(1/2)

খ

(-1/2)

গ

1

ঘ

-1

Find the minimum value of sinθ + cosθ.

ক

√2

খ

-√2

গ

1

ঘ

-1

Find the maximum value of sinθ + cosθ.

ক

√2

খ

-√2

গ

1

ঘ

-1

If tanx/tany = a, find the value of sin (x + y)/sin (x - y)?

ক

a<sup>2</sup> -1

খ

(a + 1)/(a - 1)

গ

(a - 1)/(a + 1)

ঘ

2a

The value of sin x (cosec x – sin x)(tan x + cot x) is –

ক

tan x

খ

cot x

গ

sin x

ঘ

cosec x

If Cot x/Cot y = A and Cosec x/Cosec y = B, then the value of Cosec y in terms of A and B.

ক

<p>√((1 – A<sup>2</sup>)/(B<sup>2</sup> – A<sup>2</sup>))</p>

খ

(1 – A<sup>2</sup>)/(A<sup>2</sup> – B<sup>2</sup>)

গ

A/(B<sup>2</sup> – A<sup>2</sup>)

ঘ

(1 – B<sup>2</sup>)/(B<sup>2</sup> – A<sup>2</sup>)

Consider the following statements: I. The trigonometric ratio can be measured by measuring the angles in circular system but not in centesimal system and sexagesimal system II. The trigonometric ratio can be measured by measuring the angles in circular system and centesimal system but not in sexagesimal system

ক

Only 1

খ

Only 2

গ

Both 1 and 2

ঘ

Neither 1 nor 2

If hypotenuse of a right angled triangle is twice of its height, then find the angle made by the hypotenuse with the base.

ক

90°

খ

60°

গ

45°

ঘ

30°

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