Aptitude · all questions

Trigonometry
practice.

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Q281

Open question

If sinA =

\frac{4}{5}

and sinB =

\frac{15}{17},

what is the value of sin(A - B)?

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Q282

Open question

If 0° < θ < 90° and cos²θ = 3(cot²θ - cos²θ) then the value of

(\frac{1}{2} sec θ + sin θ)^{- 1}

is:

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Q283

Open question

The value of

\frac{sin A}{cot A + cosec A} - \frac{sin A}{cot A - cosec A} - 1 is:

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Q284

Open question

The value of sin²38° + sin²52° + sin²30° - tan²45° is equal to:

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Q285

Open question

If secθ + tanθ = p, (p > 1) then

\frac{cosec θ + 1}{cosec θ - 1} = ?

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Q286

Open question

If 1 + cot²θ =

\frac{625}{49}

and θ is acute, then what is the value of

(sin θ + cos θ)^{\frac{1}{2}} ?

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Q287

Open question

What is the value of cosec(65° + θ) - sec(25° - θ) + tan²20° - cosec²70°?

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Q288

Open question

The value of

\frac{2 ( sin ^{6} θ + cos ^{6} θ ) - 3 ( sin ^{4} θ + cos ^{4} θ )}{cos ^{4} θ - sin ^{4} θ - 2 cos ^{2} θ} is:

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Q289

Open question

The value of

\frac{sec ^{2} θ}{cose c ^{2} θ} + \frac{cose c ^{2} θ}{sec ^{2} θ} - (sec^{2} θ + cose c^{2} θ) is:

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Q290

Open question

If (2cosA + 1)(2cosA - 1) = 0, 0° < A ≤ 90°, then find the value of A.

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Q291

Open question

If x = 8(sinθ + cosθ) and y = 9(sinθ - cosθ), then the value of

\frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{9 ^{2}}

is:

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Q292

Open question

The value of

\frac{( cos 9 ^{\circ} + sin 81 ^{\circ} ) ( sec 9 ^{\circ} + cosec 8 1 ^{\circ} )}{cose c ^{2} 71 + cos ^{2} 15 ^{\circ} - tan ^{2} 19 ^{\circ} + cos ^{2} 75 ^{\circ}} is:

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Q293

Open question

If tanθ + secθ =

\frac{x - 2}{x + 2},

then what is the value of cosθ?

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Q294

Open question

If cosA + cosB + cosC = 3, then what is the value of sinA + sinB + sinC?

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Q295

Open question

Simplify the following:

\frac{cos x - 3 sin x}{2}

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Q296

Open question

Let 0° < θ < 90°, (1 + cot²θ)(1 + tan²θ) × (sinθ - cosecθ)(cosθ - secθ) is equal to:

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Q297

Open question

The expression

\frac{( 1 - 2 sin ^{2} θ cos ^{2} θ ) ( cot θ + 1 ) cos θ}{( sin ^{4} θ + cos ^{4} θ ) ( 1 + tan θ ) cosec θ} - 1,

0° < θ < 90°, equals:

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Q298

Open question

If a = 45° and b = 15°, what is the value of

\frac{cos ( a - b ) - cos ( a + b )}{cos ( a - b ) + cos ( a + b )} ?

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Q299

Open question

What is the value of

cos (- \frac{17 π}{3}) ?

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Q300

Open question

What is the value of

\frac{[ 1 - tan ( 90 - θ ) + sec ( 90 - θ ) ]}{[ tan ( 90 - θ ) - sec ( 90 - θ ) + 1 ]} ?

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Trigonometrypractice.

Trigonometry
practice.