Maharashtra State BoardHSC Arts 11th
Advertisement Remove all ads

Question Bank Solutions for HSC Arts 11th - Maharashtra State Board - Mathematics and Statistics

Advertisement Remove all ads
Subjects
Topics
Subjects
Popular subjects
Topics
Mathematics and Statistics
< prev 1 to 20 of 2385 next > 

If A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], then insert the appropriate symbol ∈ or ∉ in each of the following blank space: 

12 ...... A

[0.025] Sets and Relations
Chapter: [0.025] Sets and Relations
Concept: Sets and Their Representations

Answer the following:

If sinθ = `(x^2 - y^2)/(x^2 + y^2)` then find the values of cosθ, tanθ in terms of x and y.

[0.012] Trigonometry - 1
Chapter: [0.012] Trigonometry - 1
Concept: Introduction of Trigonometry

Prove the following:

`tan(pi/4 + theta) = (1 - tan theta)/(1 + tan theta)`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

`((1 + tan x)/(1 - tan x))^2 = tan(pi/4 + x)/(tan(pi/4 - x))`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

sin [(n + 1)A].sin[(n + 2)A] + cos[(n + 1)A]. cos[(n + 2)A]= cos A

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

`sqrt(2)cos (pi/4 - "A")` = cos A + sin A

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

`(cos(x - y))/(cos(x + y)) = (cotx coty + 1)/(cotx coty - 1)`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

`(cos15^circ - sin15^circ)/(cos15^circ + sin15^circ) = 1/sqrt(3)`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

If sin A = `(-5)/13, pi < "A" < (3pi)/2` and cos B = `3/5, (3pi)/2 < "B" < 2pi` find sin (A + B)

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

If sin A = `(-5)/13, pi < "A" < (3pi)/2` and cos B = `3/5, (3pi)/2 < "B" < 2pi` find cos (A – B)

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

If sin A = `(-5)/13, pi < "A" < (3pi)/2` and cos B = `3/5, (3pi)/2 < "B" < 2pi` find tan (A + B)

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

If tan A = `5/6, tan "B" = 1/11`, prove that A + B = `pi/4`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Select the correct option from the given alternatives :

The value of sin(n + 1) Asin (n + 2)A + cos(n + a) A cos(n + 2) A is equal to

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Select the correct option from the given alternatives :

If tan A – tan B = x and cot B – cot A = y, then cot (A – B) = _____

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Select the correct option from the given alternatives :

The value of `costheta/(1 + sin theta)` is equal to ……

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Select the correct option from the given alternatives :

The numerical value of tan20° tan80° cot50° is equal to .....…..

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

If sin 2A = λsin 2B then prove that `(tan("A" + "B"))/(tan("A" - "B")) = (lambda + 1)/(lambda - 1)`

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

`(2cos2"A" + 1)/(2cos2"A" - 1)` = tan(60° + A) tan(60° − A)

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

tanA + tan(60° + A) + tan(120° + A) = − tan3A

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles

Prove the following:

3tan610° – 27 tan410° + 33tan210° = 1

[0.013000000000000001] Trigonometry - 2
Chapter: [0.013000000000000001] Trigonometry - 2
Concept: Trigonometric Functions of Sum and Difference of Angles
< prev 1 to 20 of 2385 next > 
Advertisement Remove all ads
Question Bank Solutions for HSC Arts 11th Maharashtra State Board Mathematics and Statistics. You can further filter Question Bank Solutions by subjects and topics. Solutions for most of the questions for Maharashtra State Board can be found here on Shaalaa.com. You can use these solutions to prepare for your studies and ace in exams. Solving questions is a great way to practice and with Shaalaa.com, you can answer a question and then also check your answer with the solutions provided.
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×