मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer) - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)

पर्याय

  • `(pi(3"n" + 1))/("p" - "q")`

  • `(pi(2"n" + 1))/("p" +- "q")`

  • `(pi("n" +- 1))/("p" +- "q")`

  • `(pi("n" + 2))/("p" + "q")`

MCQ
Advertisements

उत्तर

`(pi(2"n" + 1))/("p" +- "q"`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.12 [पृष्ठ १५०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.12 | Q 12 | पृष्ठ १५०

संबंधित प्रश्‍न

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 cos 570° sin 510° + sin (−330°) cos (−390°) = 0

If \[\frac{3\pi}{4} < \alpha < \pi, \text{ then }\sqrt{2\cot \alpha + \frac{1}{\sin^2 \alpha}}\] is equal to


If \[cosec x - \cot x = \frac{1}{2}, 0 < x < \frac{\pi}{2},\]

 

Find the general solution of the following equation:

\[\tan 3x = \cot x\]

Solve the following equation:

\[2 \cos^2 x - 5 \cos x + 2 = 0\]

Solve the following equation:

\[\cos x + \cos 2x + \cos 3x = 0\]

Solve the following equation:

\[\sin 2x - \sin 4x + \sin 6x = 0\]

Solve the following equation:
 sin x tan x – 1 = tan x – sin x

 


Solve the following equation:
3 – 2 cos x – 4 sin x – cos 2x + sin 2x = 0


Write the number of points of intersection of the curves

\[2y = - 1 \text{ and }y = cosec x\]

Write the solution set of the equation 

\[\left( 2 \cos x + 1 \right) \left( 4 \cos x + 5 \right) = 0\] in the interval [0, 2π].

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

 


A solution of the equation \[\cos^2 x + \sin x + 1 = 0\], lies in the interval


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

2 cos2x + 1 = – 3 cos x


Solve the following equations:
cos θ + cos 3θ = 2 cos 2θ


Solve the following equations:
`tan theta + tan (theta + pi/3) + tan (theta + (2pi)/3) = sqrt(3)`


If a cosθ + b sinθ = m and a sinθ - b cosθ = n, then show that a2 + b2 = m2 + n2 


The minimum value of 3cosx + 4sinx + 8 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×