English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If sin α + cos α = b, then sin 2α is equal to

Advertisements
Advertisements

Question

Choose the correct alternative:
If sin α + cos α = b, then sin 2α is equal to

Options

  • b2 − 1, if `"b" ≤ sqrt(2)`

  • b2 − 1, if `"b" > sqrt(2)`

  • b2 − 1, if b ≥ 1

  • b2 − 1, if `"b" ≥ sqrt(2)`

MCQ
Advertisements

Solution

b2 − 1, if `"b" ≤ sqrt(2)`

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Trigonometry - Exercise 3.12 [Page 151]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.12 | Q 19 | Page 151

RELATED QUESTIONS

Find the general solution of the equation cos 3x + cos x – cos 2x = 0


Find the general solution of the equation sin 2x + cos x = 0


If \[x = \frac{2 \sin x}{1 + \cos x + \sin x}\], then prove that

\[\frac{1 - \cos x + \sin x}{1 + \sin x}\] is also equal to a.

Prove that:  tan 225° cot 405° + tan 765° cot 675° = 0


Prove that:
\[\sin^2 \frac{\pi}{18} + \sin^2 \frac{\pi}{9} + \sin^2 \frac{7\pi}{18} + \sin^2 \frac{4\pi}{9} = 2\]

 

If \[cosec x + \cot x = \frac{11}{2}\], then tan x =

 


If tan A + cot A = 4, then tan4 A + cot4 A is equal to


If x sin 45° cos2 60° = \[\frac{\tan^2 60^\circ cosec30^\circ}{\sec45^\circ \cot^{2^\circ} 30^\circ}\], then x =

 

Find the general solution of the following equation:

\[\sin 2x + \cos x = 0\]

Solve the following equation:

\[3 \cos^2 x - 2\sqrt{3} \sin x \cos x - 3 \sin^2 x = 0\]

Solve the following equation:
\[\sin x + \cos x = \sqrt{2}\]


Solve the following equation:

`cosec  x = 1 + cot x`


Solve the following equation:
\[\cot x + \tan x = 2\]

 


The smallest value of x satisfying the equation

\[\sqrt{3} \left( \cot x + \tan x \right) = 4\] is 

If \[\cos x + \sqrt{3} \sin x = 2,\text{ then }x =\]

 


Find the principal solution and general solution of the following:
sin θ = `-1/sqrt(2)`


Find the principal solution and general solution of the following:
cot θ = `sqrt(3)`


Solve the following equations for which solution lies in the interval 0° ≤ θ < 360°

2 sin2x + 1 = 3 sin x


Solve the following equations:
2 cos2θ + 3 sin θ – 3 = θ


If sin θ and cos θ are the roots of the equation ax2 – bx + c = 0, then a, b and c satisfy the relation ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×