Aptitude · all questions

Trigonometry
practice.

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

357

Questions

3/18

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Q41

Open question

\frac{cos α}{sin β} = n

and

\frac{cos α}{cos β} = m,

then the value of

co s^{2} β

is?

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Q42

Open question

If tanθ + cotθ = 5, then tan²θ + cot²θ is?

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Q43

Open question

If tanA = n tanB and sinA = m sinB, then the value of cos²A = ?

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Q44

Open question

The value of tan 4°.tan 43°.tan 47°.tan 86° is?

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Q45

Open question

The value of tan 1°.tan 2°.tan 3° ............. tan 89° is?

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Q46

Open question

The value of cot 10°.cot 20°.cot 60°.cot 70°.cot 80° is?

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Q47

Open question

The value of cot 18°

(cot 7 2^{\circ} .co s^{2} 22^{\circ} + \frac{1}{tan 7 2 ^{\circ} . se c ^{2} 68 ^{\circ}})

is?

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Q48

Open question

If x, y are acute angles, 0 < x + y < 90° and sin(2x - 20°) = cos(2y + 20°), then the value of tan(x + y) is?

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Q49

Open question

sin²5° + sin²6° + ............. sin²84° + sin²85° = ?

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Q50

Open question

sin²5° + sin²10° + sin²15° + ...... sin²85° + sin²90° is equal to?

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Q51

Open question

If sinα .sec(30° + α) = 1, (0 < α < 60°), then the value of sinα + cos2α is?

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Q52

Open question

If ∠A and ∠B are complementary to each other, then the value of sec²A + sec²B - sec²A.sec²B is?

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Q53

Open question

The value of cotθ.tan(90° - θ) - sec(90° - θ)cosecθ + (sin²25° + sin²65°) +

3

(tan5°. tan15°. tan30°. tan75°. tan85°)

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Q54

Open question

If cosθ.cosec23° = 1, the value of θ is?

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Q55

Open question

If A, B and C be the angles of a triangle, the incorrect relation is ?

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Q56

Open question

θ

is a positive acute angle and

tan 2 θ . tan 3 θ

= 1 then the value of

(2co s^{2} \frac{5 θ}{2} - 1)

is?

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Q57

Open question

If tan7θ.tan2θ = 1, then the value of tan3θ is?

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Q58

Open question

sin (60^{\circ} - θ)

cos (ψ - 30^{\circ}),

then the value of

tan (ψ - θ)

is (assume that

θ

and

ψ

are both positive acute angles with

θ < 6 0^{\circ}

and

ψ > 3 0^{\circ}

) ?

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Q59

Open question

Evaluate : 3cos80°.cosec10° + 2cos59°.cosec31°

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Q60

Open question

\frac{2 sin 68 ^{\circ}}{cos 2 2 ^{\circ}}

-

\frac{2 cot 1 5 ^{\circ}}{5 tan 75 ^{\circ}}

-

\frac{3 tan 45 ^{\circ} . tan 20 ^{\circ} . tan 40 ^{\circ} . tan 50 ^{\circ} . tan 70 ^{\circ}}{5}

is equal to?

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Trigonometrypractice.

Trigonometry
practice.