Aptitude · all questions

Trigonometry
practice.

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

357

Questions

10/18

Page

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Q181

Open question

cot θ = 4,

then the value of

\frac{5 sin θ + 3 cos θ}{5 sin θ - 3 cos θ}

is?

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Q182

Open question

The value of cos²20° + cos²70° is?

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Q183

Open question

If rsinθ = 1, rcosθ =

3,

then the value of r²tanθ is?

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Q184

Open question

If secθ + tanθ = m(>1), then the value of sinθ is (0° < θ < 90°)

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Q185

Open question

The expression of

\frac{cot θ + cosec θ - 1}{cot θ + cosec θ + 1}

is equal to?

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Q186

Open question

If secA + tanA = a, then the value of cosA is?

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Q187

Open question

If sinP + cosecP = 2, then the value of sin⁷P + cosec⁷P is?

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Q188

Open question

The value of the expression 2(sin⁶θ + cos⁶θ) - 3(sin⁴θ + cos⁴θ) + 1 is?

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Q189

Open question

cos θ = \frac{x ^{2} - y ^{2}}{x ^{2} + y ^{2}}

then the value of

cot θ

is equal to

[if 0^{\circ} ⩽ θ ⩽ 90^{\circ}]

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Q190

Open question

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is?

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Q191

Open question

If xtan60° + cos45° = sec45°, then the value of x² + 1 is?

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Q192

Open question

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

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Q193

Open question

If a² sec²x - b² tan²x = c², then the value of sec²x + tan²x is equal to (assume b² ≠ a²)

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Q194

Open question

If tan⁴θ + tan²θ = 1, then the value of cos⁴θ + cos²θ is?

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Q195

Open question

The value of 8(sin⁶θ + cos⁶θ) - 12(sin⁴θ + cos⁴θ) is equal to?

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Q196

Open question

If secA =

\frac{17}{8},

given that A < 90°, what is the value of the following?

\frac{34 sin A + 15 cot A}{68 cos A - 16 tan A}

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Q197

Open question

If A is an acute angle, the simplified form of

\frac{cos ( π - A ) . cot ( \frac{π}{2} + A ) cos ( - A )}{tan ( π + A ) tan ( \frac{3 π}{2} + A ) sin ( 2 π - A )} is:

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Q198

Open question

If tan²A + 2tanA - 63 = 0, given that 0 < A <

\frac{π}{2}

what is the value of (2sinA + 5cosA)?

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Q199

Open question

\frac{sin ^{2} ϕ - 3 sin ϕ + 2}{cos ^{2} ϕ} = 1,

where 0° <

ϕ

< 90° then what is the value of (cos2

ϕ

- sin3

ϕ

+ cosec2

ϕ

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Q200

Open question

If sinθ = √3cosθ, 0°< θ < 90°, then the value of 2sin²θ + 6sec²θ + sinθ secθ + cosecθ is

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Trigonometrypractice.

Trigonometry
practice.