Aptitude · all questions

Trigonometry
practice.

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Q241

Open question

The expression

\frac{tan ^{6} θ - sec ^{6} θ + 3 sec ^{2} θ tan ^{2} θ}{tan ^{2} θ + cot ^{2} θ + 2}

is equal to:

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Q242

Open question

A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18 degrees. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree.

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Q243

Open question

Simplify the following expression cosec⁴A(1 - cos⁴ A) - 2cot²A - 1

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Q244

Open question

Which of the following is equal to secA - cosA?

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Q245

Open question

(sec∅ - tan∅)²(1 + sin∅)² ÷ cos²∅ = ?

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Q246

Open question

The value cosec(67° + θ) - sec(23° - θ) + cos15°cos35°cosec55°cos60°cosec75° is:

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Q247

Open question

Find

cos (- \frac{7 π}{2}) = ?

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Q248

Open question

If tanA - tanB - tanC = tanA.tanB.tanC, what is the value of A in terms of B and C?

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Q249

Open question

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

0° < θ < 90°, is equal to:

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Q250

Open question

The value of (1 + cotθ - cosecθ)(1 + cosθ + sinθ)secθ =?

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Q251

Open question

If 12cot²θ - 31cosecθ + 32 = 0, 0° < θ < 90° then the value of tanθ will be:

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Q252

Open question

The expression

\frac{cos ^{4} θ - sin ^{4} θ + 2 sin ^{2} θ + 3}{( cosec θ + cot θ + 1 ) ( cosec θ - cot θ + 1 ) - 2},

is equal to:

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Q253

Open question

If sin(A + B) =

\frac{3}{2}

and tan(A - B) =

\frac{1}{3}

, then (2A + 3B) is equal to.

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Q254

Open question

If sinθ =

\frac{9}{41},

0° < θ < 90° then what is the value of cotθ?

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Q255

Open question

What will be the value of sin10° -

\frac{4}{3}

sin³10°?

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Q256

Open question

Evaluate the following expression in terms of trigonometric ratios.

\frac{sec A - tan A}{sec A + tan A}

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Q257

Open question

If A = 10°, what is the value of:

\frac{12 sin 3 A + 5 cos ( 5 A - 5 ^{\circ} )}{9 sin \frac{9 A}{2} - 4 cos ( 5 A + 10 ^{\circ} )} ?

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Q258

Open question

\frac{cot θ + cos θ}{cot θ - cos θ}

is equal to-

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Q259

Open question

Simplify: cos(36° - A)cos(36° + A) + cos(54° - A)cos(54° + A)

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Q260

Open question

If 3(cot²θ - cos²θ) = cos²θ, 0°< θ < 90°, then the value of (tan²θ + cosec²θ + sin²θ) is:

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Trigonometrypractice.

Trigonometry
practice.