Aptitude · all questions

Trigonometry
practice.

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

357

Questions

7/18

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Q121

Open question

2cos θ - sin θ = \frac{1}{2},

(0^{\circ} < θ < 90^{\circ})

the value of

2 sin θ

cos θ

is?

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Q122

Open question

If sec²θ + tan²θ = 7, then the value of θ when 0° ≤ θ ≤ 90° is?

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Q123

Open question

The simplified value of (sec x sec y + tan x tan y)² - (sec x tan y + tan x sec y)²

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Q124

Open question

If A = sin²θ + cos⁴θ for any value of θ, then the value of A is?

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Q125

Open question

In circular measure, the value of the angle 11° 15' is?

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Q126

Open question

In a triangle ABC, ∠ABC = 75° and ∠ACB =

\frac{π ^{c}}{4},

the circular measure of ∠BAC is?

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Q127

Open question

θ

be acute angle and

cos θ = \frac{15}{17},

then the value of

cot (90^{\circ} - θ)

is?

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Q128

Open question

If a right-angled triangle XYZ right-angled at Y. If XY =

26

and XZ - YZ = 2, then secX + tanX is?

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Q129

Open question

In ΔABC, ∠B = 90° and AB : BC = 2 : 1, then value of (sinA + cotC) = ?

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Q130

Open question

If sin21° =

\frac{x}{y},

then sec21° - sin69° is equal to?

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Q131

Open question

3

tanθ = 3sinθ, then the value of (sin²θ - cos²θ) is?

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Q132

Open question

If sinθ =

\frac{a}{b}

then the value of secθ - cosθ is? (where 0° < θ < 90°)

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Q133

Open question

sec θ = x + \frac{1}{4 x}

(0^{\circ} < θ < 90^{\circ})

then

sec θ

tan θ

is equal to?

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Q134

Open question

If secθ + tanθ = 2 +

5,

then the value of sinθ + cosθ is?

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Q135

Open question

If secα + tanα = 2, then the value of sinα is (assume that 0 < α < 90°)

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Q136

Open question

If A is an acute angle and cotA + cosecA = 3, then the value of sinA is?

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Q137

Open question

If θ is positive acute angle and 3(sec²θ + tan²θ) = 5, then the value of cos2θ is?

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Q138

Open question

If the sum and difference of two angles are 135° and

\frac{π}{12}

respectively, then the value of the angles in degree measure are?

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Q139

Open question

If cosx + cos²x = 1,the numerical value of (sin¹² + 3sin¹⁰x + 3sin⁸x + sin⁶x - 1) = ?

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Q140

Open question

If cosθ + sinθ =

2

cosθ, then cosθ - sinθ is?

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Trigonometrypractice.

Trigonometry
practice.