Aptitude · all questions

Trigonometry
practice.

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

357

Questions

9/18

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Q161

Open question

θ

is a positive acute angle and

4 sin^{2} θ

= 3, then the value of

tan θ

co t \frac{θ}{2}

is?

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Q162

Open question

If sin31° =

\frac{x}{y},

then the value of sec31° - sin59° is?

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Q163

Open question

The value of

cot1 7^{\circ}

(cot 73^{\circ} cos^{2} 22^{\circ} + \frac{1}{cot 17 ^{\circ} se c ^{2} 68 ^{\circ}})

is?

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Q164

Open question

θ is the positive acute angle and sinθ - cosθ = 0, then the value of secθ + cosecθ is?

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Q165

Open question

If α + β = 90° and α : β = 2 : 1, then the ratio of cosα to cosβ is?

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Q166

Open question

If θ is positive acute angle and 7cos²θ + 3sin²θ = 4, then value of θ is?

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Q167

Open question

The least value of tan²x + cot²x is?

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Q168

Open question

If cos27° = x, then the value of tan63° is?

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Q169

Open question

If cos²x + cos⁴x = 1, then tan²x + tan⁴x = ?

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Q170

Open question

tan θ = \frac{4}{3},

then the value of

\frac{3 sin θ + 2 cos θ}{3 sin θ - 2 cos θ}

is?

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Q171

Open question

If sec(4x - 50°) = cosec(50° - x), then the value of x is?

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Q172

Open question

π sin θ = 1,

π cos θ = 1,

then the value of

{3 tan (\frac{2}{3} θ) + 1}

is?

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Q173

Open question

If in a triangle ABC, sinA = cosB then the value of cosC is?

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Q174

Open question

If sinθ × cosθ =

\frac{1}{2},

Then the value of sinθ - cosθ is where 0° < θ < 90°.

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Q175

Open question

The value of cos²20° + cos²70° = ?

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Q176

Open question

\frac{cos θ}{1 - sin θ}

\frac{cos θ}{1 + sin θ}

= 4, then the value of

θ (0^{\circ} < θ < 90^{\circ})

is?

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Q177

Open question

If sec15θ = cosec15θ (0° < θ < 10°) then the value of θ is?

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Q178

Open question

If tanθ = tan30° .tan60° and θ is an acute angle, then 2θ is equal to?

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Q179

Open question

If 7sin²θ + 3cos²θ = 4, then the value of secθ + cosecθ is?

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Q180

Open question

The value of

(\frac{sin θ + sin ϕ}{cos θ + cos ϕ} + \frac{cos θ - cos ϕ}{sin θ - sin ϕ})

is?

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Trigonometrypractice.

Trigonometry
practice.