Aptitude · all questions

Trigonometry
practice.

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

357

Questions

4/18

Page

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Q61

Open question

The value of tan10°. tan15°. tan75°. tan80° is?

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Q62

Open question

If sin7x = cos11x, then the value of tan9x + cot9x is?

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Q63

Open question

The value of

(sin^{2} 7 \frac{1}{2}^{\circ} + sin^{2} 82 \frac{1}{2}^{\circ})

is?

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Q64

Open question

The value of sin²65° + sin²25° + cos²35° + cos²55° is?

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Q65

Open question

ABCD is a rectangle of which AC is a diagonal. The value of (tan² ∠CAD + 1)sin² ∠BAC is?

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Q66

Open question

If sin 3A = cos(A - 26°), where 3A is an acute angle then the value of A is?

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Q67

Open question

If sin(θ + 18°) = cos60° (0° < θ < 90°), then the value of cos 5θ is?

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Q68

Open question

If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value of θ in degrees is?

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Q69

Open question

The value of the following is :

\frac{( tan 20 ^{\circ} ) ^{2}}{( cosec 7 0 ^{\circ} ) ^{2}}

+

\frac{( cot 20 ^{\circ} ) ^{2}}{( sec 7 0 ^{\circ} ) ^{2}}

+

2 tan 1 5^{\circ}

tan 4 5^{\circ}

tan 7 5^{\circ}

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Q70

Open question

The value of the following is :

(\frac{sin 4 7 ^{\circ}}{cos 43 ^{\circ}})^{2}

(\frac{cos 43 ^{\circ}}{sin 47 ^{\circ}})^{2}

4 co s^{2} 4 5^{\circ}

= ?

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Q71

Open question

The value of the expression: sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

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Q72

Open question

If cos20° = m and cos70° =n, then the value of m² + n² is?

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Q73

Open question

sin (90^{\circ} - θ)

cos θ

2 cos (90^{\circ} - θ),

then the value of

cosec θ

is?

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Q74

Open question

sin A - cos A

\frac{3 - 1}{2},

then the value of

sin A . cosA

is?

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Q75

Open question

\frac{sec ^{2} 70 ^{\circ} - co t ^{2} 20 ^{\circ}}{2 ( cose c ^{2} 59 ^{\circ} - tan ^{2} 31 ^{\circ} )}

\frac{2}{m},

then m is equal to?

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Q76

Open question

\frac{tan θ + cot θ}{tan θ - cot θ} = 2,

(0 ⩽ θ ⩽ 90^{\circ}),

then the value of

sin θ

is?

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Q77

Open question

\frac{sin θ + cos θ}{sin θ - cos θ} = 3,

then the value of

sin^{4} θ - co s^{4} θ

is?

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Q78

Open question

If tan15° = 2 -

3,

then the value of tan15° cot75° + tan75° cot15° is?

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Q79

Open question

If A = tan11°. tan29°, B = 2cot61°. cot79° then -

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Q80

Open question

tan (\frac{π}{2} - \frac{θ}{2}) = 3

the value of cosθ is?

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Trigonometrypractice.

Trigonometry
practice.