मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:If f(θ) = |sin θ| + |cos θ| , θ ∈ R, then f(θ) is in the interval

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
If f(θ) = |sin θ| + |cos θ| , θ ∈ R, then f(θ) is in the interval

पर्याय

  • [0, 2]

  • `[1, sqrt(2)]`

  • [1, 2]

  • [0, 1]

MCQ
Advertisements

उत्तर

`[1, sqrt(2)]`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.12 [पृष्ठ १५१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.12 | Q 15 | पृष्ठ १५१

संबंधित प्रश्‍न

Find the principal and general solutions of the equation sec x = 2


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


Find the general solution of the equation  sin x + sin 3x + sin 5x = 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.

If \[\tan x = \frac{b}{a}\] , then find the values of \[\sqrt{\frac{a + b}{a - b}} + \sqrt{\frac{a - b}{a + b}}\].


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


Prove that: \[\tan\frac{11\pi}{3} - 2\sin\frac{4\pi}{6} - \frac{3}{4} {cosec}^2 \frac{\pi}{4} + 4 \cos^2 \frac{17\pi}{6} = \frac{3 - 4\sqrt{3}}{2}\]

 


Prove that

\[\frac{cosec(90^\circ + x) + \cot(450^\circ + x)}{cosec(90^\circ - x) + \tan(180^\circ - x)} + \frac{\tan(180^\circ + x) + \sec(180^\circ - x)}{\tan(360^\circ + x) - \sec( - x)} = 2\]

 


If tan \[x = - \frac{1}{\sqrt{5}}\] and θ lies in the IV quadrant, then the value of cos x is

 

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

 


Find the general solution of the following equation:

\[\sqrt{3} \sec x = 2\]

Find the general solution of the following equation:

\[\cos 3x = \frac{1}{2}\]

Solve the following equation:

\[4 \sin^2 x - 8 \cos x + 1 = 0\]

Solve the following equation:

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

Solve the following equation:

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

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

 


Write the set of values of a for which the equation

\[\sqrt{3} \sin x - \cos x = a\] has no solution.

If \[2 \sin^2 x = 3\cos x\]. where \[0 \leq x \leq 2\pi\], then find the value of x.


Solve the following equations:
sin 5x − sin x = cos 3


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×