Aptitude · all questions

Trigonometry
practice.

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357

Questions

8/18

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Q141

Open question

x cos θ - y sin θ

x^{2} + y^{2}

and

\frac{cos ^{2} θ}{a ^{2}}

\frac{sin ^{2} θ}{b ^{2}}

\frac{1}{x ^{2} + y ^{2}},

then the correct relation is?

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Q142

Open question

If cos²θ - sin²θ =

\frac{1}{3},

where 0 ≤ θ ≤

\frac{π}{2},

then the value of cos⁴θ - sin⁴θ is?

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Q143

Open question

If sinθ + cosθ =

2

sin(90° - θ) then the value of cotθ is?

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Q144

Open question

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

then the value of

sin^{4} θ

is?

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Q145

Open question

0 < θ < 90°, tanθ + sinθ =m and tanθ - sinθ = n, where m ≠ n, then the value of m² - n² is?

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Q146

Open question

0 < A < 9 0^{\circ},

then the value of

\frac{1}{2} cot A

[\frac{1 + ( secA - tan A )}{cosecA ( sec A - tan A )}]

= ?

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Q147

Open question

The value of following is :

\frac{sin θ . cosec θ . tan θ . cot θ}{sin ^{2} θ + co s ^{2} θ}

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Q148

Open question

If cosθ + secθ =

3,

then the value of (cos³θ + sec³θ) is?

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Q149

Open question

The value of sin²2° + sin²4° + sin²6° + ........ + sin²90° is?

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Q150

Open question

A \times tan (θ + 150^{\circ})

B \times tan

(θ - 60^{\circ}),

the value of

\frac{A - B}{A + B}

is?

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Q151

Open question

Find the value of sin²25° + sin²65° + coses²57° - tan²33° = ?

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Q152

Open question

6 sin^{4} θ + 3 cos^{4} θ = 2,

then the value of

[7 cosec^{6} θ + 8 sec^{6} θ]^{\frac{1}{3}}

is?

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Q153

Open question

\frac{2 sin θ}{cos θ ( 1 + ta n ^{2} θ )}

simplifies to?

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Q154

Open question

tan θ = \frac{3}{4},

find the value of

cos2 θ

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Q155

Open question

The value of

\frac{sin 6 5 ^{\circ}}{cos 25 ^{\circ}}

is?

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Q156

Open question

Find the value of, 8cos10°. cos20°. cos40° = ?

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Q157

Open question

The value of

se c^{2} 1 7^{\circ}

\frac{1}{ta n ^{2} 73 ^{\circ}}

sin 1 7^{\circ}

sec 7 3^{\circ}

is?

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Q158

Open question

The value of coses²60° + sec²60° - cot²60° + tan²30° will be?

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Q159

Open question

In a ΔABC, if 4∠A = 3∠B = 12∠C, find ∠A?

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Q160

Open question

If θ is a acute angle and sin(θ + 18°) =

\frac{1}{2},

then the value of θ in circular measure is?

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Trigonometrypractice.

Trigonometry
practice.