Aptitude · all questions

Trigonometry
practice.

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

357

Questions

1/18

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Open question

The minimum value of 2sin²θ + 3cos²θ is ?

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Open question

Maximum value of (2sinθ + 3cosθ) is?

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Open question

The equation

cos^{2} θ

\frac{( x + y ) ^{2}}{4 x y}

is only possible when ?

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Open question

The greatest value of sin⁴θ + cos⁴θ is?

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Open question

Which one of the following is true for 0° < θ < 90° ?

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Open question

cos π x = x^{2} - x + \frac{5}{4},

then the value of x will be ?

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Open question

sin \frac{π x}{2} = x^{2} - 2 x + 2,

the value of x is?

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Open question

The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?

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Open question

If θ be an acute angle and 7sin²θ + 3cos²θ = 4, then the value of tanθ is?

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Q10

Open question

If tan θ = 1, then the value of

\frac{8 sin θ + 5 cos θ}{sin ^{3} θ - 2 cos ^{3} θ + 7 cos θ}

is?

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Q11

Open question

If θ be a positive acute angle satisfying cos²θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?

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Q12

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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Q13

Open question

The simplified value of (secA - cosA)² + (cosecA - sinA)² - (cotA - tanA)²

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Q14

Open question

The angles of a triangle are (x + 5)°, (2x - 3)° and (3x + 4)°. Then the value of x is?

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Q15

Open question

The expression

\frac{tan 57 ^{\circ} + cot 37 ^{\circ}}{tan 33 ^{\circ} + cot 53 ^{\circ}}

is equal to?

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Q16

Open question

The value of

\frac{cot 30 ^{\circ} - cot 75 ^{\circ}}{tan 15 ^{\circ} - tan 60 ^{\circ}}

is?

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Q17

Open question

se c^{2} θ + ta n^{2} θ = \frac{7}{12},

then

se c^{4} θ

ta n^{4} θ

= ?

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Q18

Open question

The numerical value of

\frac{5}{se c ^{2} θ}

\frac{2}{1 + co t ^{2} θ}

3 sin^{2} θ

is?

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Q19

Open question

The numerical value of

(\frac{1}{cos θ} + \frac{1}{cot θ})

(\frac{1}{cos θ} - \frac{1}{cot θ})

is?

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Q20

Open question

The value of cos1° cos2° cos3° ............. cos177° cos178° cos179° is?

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Trigonometrypractice.

Trigonometry
practice.