Aptitude · all questions

Trigonometry
practice.

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357

Questions

11/18

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Q201

Which of the following is equal to

\frac{1}{tan θ} + tan θ ?

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Q202

Which of the following is equal to

[\frac{tan θ + sec θ - 1}{tan θ - sec θ + 1}] ?

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Q203

If

cos θ = \frac{2 p}{1 + p ^{2}},

then tanθ is equal to:

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Q204

Which of the following will satisfy a² = b² + (ab)² for the values a and b?

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Q205

What is the value of tan240°

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Q206

If

sin θ = \frac{a}{a ^{2} + b ^{2}},

0° < θ < 90°, then the value of secθ + tanθ is:

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Q207

If θ lies in the first quadrant and cos²θ - sin²θ =

\frac{1}{2}

, then the value of tan²2θ + sin²3θ is:

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Q208

tan(θ - 14π) is equal to:

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Q209

If

\frac{sin θ}{1 + cos θ} + \frac{1 + cos θ}{sin θ} = \frac{1}{3},

0° < θ < 90° then the value of (tanθ + secθ)^-1 is?

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Q210

The value of sec²28° - cot²62° + sin²60° + cosec²30° is equal to:

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Q211

If 3sec²θ + tanθ - 7 = 0, 0° < θ < 90°, then what is the value of

(\frac{2 sin θ + 3 cos θ}{cosec θ + sec θ}) ?

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Q212

What is the value of {sin(90 - x)cos[π - (x - y)]} + {cos(90 - x)sin[π - (y - x)]}?

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Q213

The value of

\frac{3 ( cose c ^{2} 26 ^{\circ} - tan ^{2} 64 ^{\circ} ) + ( cot ^{2} 42 ^{\circ} - sec ^{2} 48 ^{\circ} )}{cot ( 22 ^{\circ} - θ ) - cose c ^{2} ( 62 ^{\circ} + θ ) - tan ( θ + 68 ^{\circ} ) + tan ^{2} ( 28 ^{\circ} - θ )} is:

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Q214

What is the value of

\frac{sin ( A + B )}{sin A cos B} ?

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Q215

If sinθ + cosθ = √5sin(90 - θ), find the value of cotθ

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Q216

If

2 \frac{cos ^{2} x - sec ^{2} x}{tan ^{2} x} = a + b cos 2 x,

then a, b = ?

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Q217

What is the value of

\frac{cos 50 ^{\circ}}{sin 40 ^{\circ}} + \frac{3 cosec 8 0 ^{\circ}}{sec 10 ^{\circ}} - 2 cos 5 0^{\circ} \cdot cosec 4 0^{\circ} ?

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Q218

If 3sinθ = 2cos²θ, 0° < θ < 90°, then the value of (tan²θ + sec²θ - cosec²θ) is:

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Q219

If cos(A - α) = p, sin(A - β) = q, then the value of cos²(α - β) + 2pqsin(α - β) is:

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Q220

If

\frac{cos ^{2} θ}{cot ^{2} θ - cos ^{2} θ} = 3,

0° < θ < 90°, then the value of cotθ + cosecθ is:

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