Aptitude · all questions

Trigonometry
practice.

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357

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Q321

Open question

(\frac{1 - tan θ}{1 - cot θ})^{2} + 1 = ?

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Q322

Open question

The value of

(\frac{1 - cot θ}{1 - tan θ})^{2} + 1,

0° < θ < 90°, is equal to:

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Q323

Open question

If sin(A + B) = cos(A + B), what is the value of tanA?

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Q324

Open question

\frac{( 1 + cos θ ) ^{2} + sin ^{2} θ}{( cose c ^{2} θ - 1 ) sin ^{2} θ} = ?

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Q325

Open question

If cos(A - B) =

\frac{3}{2}

and sec A = 2, 0° ≤ A ≤ 90°, 0° ≤ B ≤ 90° then what is the measure of B?

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Q326

Open question

The value of

\frac{2 cos ^{3} θ - cos θ}{sin θ - 2 sin ^{3} θ} :

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Q327

Open question

The value of

\frac{sec θ ( sin θ - 2 sin ^{3} θ )}{2 cos ^{3} θ - cos θ}

is:

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Q328

Open question

What is the value of

\frac{1 + 2 cot ^{2} ( 90 ^{\circ} - x ) - 2 cosec ( 90 ^{\circ} - x ) cot ( 90 ^{\circ} - x )}{cosec ( 90 ^{\circ} - x ) - cot ( 90 ^{\circ} - x )} ?

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Q329

Open question

If tan40° = α, then find

\frac{tan 320 ^{\circ} - tan 310 ^{\circ}}{1 + tan 320 ^{\circ} \cdot tan 310 ^{\circ}}

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Q330

Open question

\frac{cos ( x + A )}{a} = \frac{cos ( x + 2 A )}{b} = \frac{cos ( x + 3 A )}{c}

and A = 60°, x = 15°, then the value of

(\frac{a + c}{b})^{2} + (\frac{a - c}{b})^{2}

is . . . . . . . .

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Q331

Open question

The value of tan²θ + cot²θ - sec²θcosec²θ is equal to:

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Q332

Open question

If 1 + 2tan²θ + 2sinθsec²θ =

\frac{a}{b}

, 0° < θ < 90°, then

\frac{a + b}{a - b} ?

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Q333

Open question

If sinθ = 4cosθ, then what is the value of sinθcosθ?

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Q334

Open question

What is the value of

\frac{2 ( 1 - sin ^{2} θ ) cose c ^{2} θ}{cot ^{2} θ ( 1 + tan ^{2} θ )} - 1

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Q335

Open question

What is the value of

\frac{[ tan ( 90 ^{\circ} - A ) + cot ( 90 ^{\circ} - A ) ] ^{2}}{[ 2 sec ^{2} ( 90 ^{\circ} - 2 A ) ]} ?

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Q336

Open question

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

θ ≠ 45° is equal to:

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Q337

Open question

\frac{1 + sin θ}{1 - sin θ} = \frac{p ^{2}}{q ^{2}},

then secθ is equal to:

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Q338

Open question

What is the value of

\frac{[ sin ( 90 - A ) + cos ( 180 - 2 A ) ]}{[ cos ( 90 - 2 A ) + sin ( 180 - A ) ]} ?

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Q339

Open question

If cos53° =

\frac{x}{y},

then sec53° + cot37° is equal to:

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Q340

Open question

\frac{sin θ - cos θ + 1}{sin θ + cos θ - 1} = ?

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Trigonometrypractice.

Trigonometry
practice.