Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`

If tan θ = `(-4)/3`, then sin θ is ______.

“The inequality `2^sintheta + 2^costheta ≥ 2^(1/sqrt(2))` holds for all real values of θ” 

The value of tan1° tan2° tan3° ... tan89° is ______.

The value of cos1° cos2° cos3° ... cos179° is ______.

Which of the following is correct?

[Hint: 1 radian = `180^circ/pi = 57^circ30^'` approx]

State whether the statement is True or False? Also give justification.

The equality sinA + sin2A + sin3A = 3 holds for some real value of A.

State whether the statement is True or False? Also give justification.

Sin10° is greater than cos10°

State whether the statement is True or False? Also give justification.

`cos  (2pi)/15 cos  (4pi)/15 cos  (8pi)/15 cos  (16pi)/15 = 1/16`

State whether the statement is True or False? Also give justification.

One value of θ which satisfies the equation sin⁴θ - 2sin²θ - 1 lies between 0 and 2π.

Identify whether the following is set or not? Justify your answer.

The collection of all months of a year beginning with the letter J.

Identify whether the following is set or not? Justify your answer.

The collection of ten most talented writers of India.

Identify whether the following is set or not? Justify your answer.

A team of eleven best-cricket batsmen of the world.

Identify whether the following is set or not? Justify your answer.

The collection of all boys in your class.

Identify whether the following is set or not? Justify your answer.

The collection of all natural numbers less than 100.

Identify whether the following is set or not? Justify your answer.

A collection of novels written by the writer Munshi Prem Chand.

Identify whether the following is set or not? Justify your answer.

The collection of all even integers.

Identify whether the following is set or not? Justify your answer.

The collection of questions in this Chapter.

Identify whether the following is set or not? Justify your answer.

A collection of most dangerous animals of the world.

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

5 _____ A