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Trigonometry
practice.

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Q341

Open question

What is the value of

\frac{[ 1 - tan ( 90 ^{\circ} - θ ) ] ^{2}}{[ cos ^{2} ( 90 ^{\circ} - θ ) ]} - 1 = ?

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Q342

Open question

What is the value of cos15° - cos165°?

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Q343

Open question

If 4 - 2sin²θ - 5cosθ = 0, 0° < θ < 90°, then the value of sinθ + tanθ is:

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Q344

Open question

The value of

(\frac{sin A}{1 - cos A} + \frac{1 - cos A}{sin A}) \div (\frac{cot ^{2} A}{1 + cosec A} + 1) is:

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Q345

Open question

Evaluate the following expression in terms of trigonometric ratios.

\frac{cot ^{2} A ( sec A - 1 )}{1 + sin A}

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Q346

Open question

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

where 0° < θ < 90°, then what is the value of (cos2θ + sin3θ + cosec2θ)?

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Q347

Open question

The value of

sec^{2} θ + cose c^{2} θ \times tan^{2} θ - sin^{2} θ

is equal to:

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Q348

Open question

If tanθ + secθ = 7, θ being acute, then the value of 5sinθ is:

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Q349

Open question

Evaluate the following:

\frac{cos 2 θ \cdot cos 3 θ - cos 2 θ \cdot cos 7 θ + cos θ \cdot cos 10 θ}{sin 4 θ \cdot sin 3 θ - sin 2 θ \cdot sin 5 θ + sin 4 θ \cdot sin 7 θ}

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Q350

Open question

If sec²θ + tan²θ =

3 \frac{1}{2},

0° < θ < 90°, then (cosθ + sinθ) is equal to

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Q351

Open question

In ΔABC, right-angled at B, AB = 7 cm and AC - BC = 1 cm. Find the value of sinC.

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Q352

Open question

The value of sin²30°.cos²45° + 2tan²30° - sec²60° is equal to:

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Q353

Open question

If 3tanθ = 2√3sin, 0° < θ < 90°, then the value of

\frac{cose c ^{2} 2 θ + cot ^{2} 2 θ}{sin ^{2} θ + tan ^{2} θ}

is:

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Q354

Open question

Using the measurements given in the following figure, the value of

\frac{sin ϕ + tan θ}{sin ϕ - tan θ}

is . . . . . . . .
Trigonometry mcq question image

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Q355

Open question

If cotθ = √7, then the value of

\frac{cose c ^{2} θ - sec ^{2} θ}{cose c ^{2} θ + sec ^{2} θ}

is:

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Q356

Open question

What is the value of (1 + cot²θ)(1 - cos²θ).

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Q357

Open question

The value of sin²64° + cos64°sin26° + 2cos43°cosec47° is:

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Trigonometrypractice.

Trigonometry
practice.