Aptitude · all questions

Trigonometry
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

357

Questions

2/18

Page

Pick an option on a question to see the right answer and solution.

Q21

Open question

2cosec²23° cot²67° - sin²23° - sin²67° - cot²67° is equal to?

Select an option to see the answer and solution.

Q22

Open question

\frac{tan θ}{1 - cot θ} + \frac{cot θ}{1 - tan θ}

is equal to?

Select an option to see the answer and solution.

Q23

Open question

The value of (1 + cotθ - cosecθ)(1 + tanθ + secθ) is equal to?

Select an option to see the answer and solution.

Q24

Open question

x = a sec θ . cos ϕ,

y = b sec θ . s in ϕ,

z = c tan θ .

then the value of

\frac{x ^{2}}{a ^{2}}

\frac{y ^{2}}{b ^{2}}

\frac{z ^{2}}{c ^{2}}

is?

Select an option to see the answer and solution.

Q25

Open question

The numerical value of

\frac{1}{1 + cot ^{2} θ}

\frac{3}{1 + ta n ^{2} θ}

2 sin^{2} θ

will be?

Select an option to see the answer and solution.

Q26

Open question

The elimination of θ from x cosθ - y sinθ = 2 and x sinθ + y cosθ = 4 will give?

Select an option to see the answer and solution.

Q27

Open question

The value of

[\frac{co s ^{2} A ( sin A + cos A )}{cose c ^{2} A ( sin A - cos A )} + \frac{si n ^{2} A ( sin A - cos A )}{se c ^{2} A ( sin A + cos A )}]

(se c^{2} A - cose c^{2} A) = ?

Select an option to see the answer and solution.

Q28

Open question

co s^{4} θ - sin^{4} θ = \frac{2}{3},

then the value of

1 - 2 sin^{2} θ

is?

Select an option to see the answer and solution.

Q29

Open question

The value of

\frac{sin A}{1 + cos A}

\frac{sin A}{1 - cos A}

(0^{\circ} < A < 90^{\circ})

Select an option to see the answer and solution.

Q30

Open question

r sin θ = 1,

r cos θ = 3,

then the value of

(3 tan θ + 1)

= ?

Select an option to see the answer and solution.

Q31

Open question

If tan²θ = 1 - e², then the value of secθ + tan³θ.cosecθ is?

Select an option to see the answer and solution.

Q32

Open question

\frac{cos α}{cos β} = a

and

\frac{sin α}{sin β} = b,

then the value of

sin^{2} β

in terms of a and b is?

Select an option to see the answer and solution.

Q33

Open question

sinθ = 0.7 then cosθ, 0 ≤ θ < 90° is?

Select an option to see the answer and solution.

Q34

Open question

2 sin θ + cos θ = \frac{7}{3},

then the value of

(ta n^{2} θ - sec^{2} θ)

is?

Select an option to see the answer and solution.

Q35

Open question

The value of

sec^{2} θ

\frac{sin ^{2} θ - 2 sin ^{4} θ}{2co s ^{4} θ - co s ^{2} θ}

is?

Select an option to see the answer and solution.

Q36

Open question

\frac{1 + sin θ}{1 - sin θ}

\frac{1 - sin θ}{1 + sin θ}

is equal to?

Select an option to see the answer and solution.

Q37

Open question

(r cos θ - 3)^{2}

(r sin θ - 1)^{2}

= 0, then the value of

\frac{r tan θ + sec θ}{r sec θ + tan θ}

is equal to?

Select an option to see the answer and solution.

Q38

Open question

Let A, B, C, D be the angles of a quadrilateral. If they are concyclic, then the value of cos A + cos B + cos C + cos D is ?

Select an option to see the answer and solution.

Q39

Open question

\frac{sec θ + tan θ}{sec θ - tan θ} = 2 \frac{51}{79},

then the value of

sin θ

is?

Select an option to see the answer and solution.

Q40

Open question

If 1 + cos²θ = 3sinθ cosθ, then the integral value of cotθ is

(0 < θ < \frac{π}{2}) = ?

Select an option to see the answer and solution.

Prev 1 2 3 4 Next

Trigonometrypractice.

Trigonometry
practice.