Aptitude · all questions

Trigonometry
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

357

Questions

5/18

Page

Pick an option on a question to see the right answer and solution.

Q81

Open question

If α + β = 90°, then the value of (1 - sin²α)(1 - cos²α) × (1 + cot²β)(1 + tan²β) is?

Select an option to see the answer and solution.

Q82

Open question

tan 9^{\circ} = \frac{p}{q},

then the value of

\frac{se c ^{2} 8 1 ^{\circ}}{1 + cot ^{2} 81 ^{\circ}}

is?

Select an option to see the answer and solution.

Q83

Open question

The value of following is, cos24° + cos55° + cos125° + cos204° + cos300° ?

Select an option to see the answer and solution.

Q84

Open question

If 7sin²θ + 3cos²θ = 4, (0° ≤ θ ≤ 90°), then the value of θ is?

Select an option to see the answer and solution.

Q85

Open question

If tan(2θ + 45°) = cot3θ, where (2θ + 45°) and 3θ are acute angles, then the value of θ is?

Select an option to see the answer and solution.

Q86

Open question

In sin(A - B) =

\frac{1}{2}

and cos(A + B) =

\frac{1}{2}

where A > B > 0 and A + B is an acute angle, then the value of B is?

Select an option to see the answer and solution.

Q87

Open question

sin²θ - 3sinθ + 2 = 0, will be true if ?

Select an option to see the answer and solution.

Q88

Open question

If 2(cos²θ - sin²θ) = 1, (θ is positive acute angle), then cotθ is equal to?

Select an option to see the answer and solution.

Q89

Open question

sin α + cos β = 2;

(0^{\circ} ⩽ β < α ⩽ 90^{\circ}),

then

sin (\frac{2 α + β}{3})^{\circ}

is?

Select an option to see the answer and solution.

Q90

Open question

2 sin (\frac{π x}{2}) = x^{2} + \frac{1}{x ^{2}},

then the value of

(x - \frac{1}{x})

is?

Select an option to see the answer and solution.

Q91

Open question

The value of 152(sin30° + 2cos²45° + 3sin30° + 4cos²45° + ...... + 17sin30° + 18cos²45°) is?

Select an option to see the answer and solution.

Q92

Open question

x sin 4 5^{\circ}

y cosec 3 0^{\circ},

then

\frac{x ^{4}}{y ^{4}}

is equal to?

Select an option to see the answer and solution.

Q93

Open question

If tan²α = 1 + 2tan²β (α, β are positive acute angles), then √2cosα - cosβ is equal to?

Select an option to see the answer and solution.

Q94

Open question

If tanθ + cotθ = 2, then the value if tan¹⁰⁰θ + cot¹⁰⁰θ is?

Select an option to see the answer and solution.

Q95

Open question

The value of,

sec θ (\frac{1 + sin θ}{cos θ} + \frac{cos θ}{1 + sin θ})

2 ta n^{2} θ

is?

Select an option to see the answer and solution.

Q96

Open question

If tanθ - cotθ = 0 find the value of sinθ + cosθ ?

Select an option to see the answer and solution.

Q97

Open question

If xsin60°.tan30° = sec60°.cot45° , then the value of x is?

Select an option to see the answer and solution.

Q98

Open question

\frac{2 tan ^{2} 30 ^{\circ}}{1 - tan ^{2} 30 ^{\circ}}

sec^{2} 4 5^{\circ}

sec^{2} 0^{\circ}

x sec 6 0^{\circ},

then the value of x is?

Select an option to see the answer and solution.

Q99

Open question

If xsin60°.tan30° - tan²45° = cosec60°.cot30° - sec²45° then x = ?

Select an option to see the answer and solution.

Q100

Open question

The value of

\frac{co s ^{2} 60 ^{\circ} + 4 se c ^{2} 30 ^{\circ} - ta n ^{2} 45 ^{\circ}}{sin ^{2} 30 ^{\circ} + co s ^{2} 30 ^{\circ}}

is?

Select an option to see the answer and solution.

Prev 3 4 5 6 7 Next

Trigonometrypractice.

Trigonometry
practice.