हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Choose the correct alternative:cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to

विकल्प

  • sin 2 (θ + Φ)

  • cos 2 (8 + Φ)

  • sin 2 (θ – Φ)

  • cos 2(θ – Φ)

MCQ

उत्तर

cos 2 (8 + Φ)

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometry - Exercise 3.12 [पृष्ठ १५०]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 3 Trigonometry
Exercise 3.12 | Q 10 | पृष्ठ १५०

संबंधित प्रश्न

Find the principal value of  `cos^(-1) (sqrt3/2)`


Find the value of the following:

`tan^(-1)(1) + cos^(-1) (-1/2) + sin^(-1) (-1/2)`


Find the value of the following:

`tan^(-1) (tan  (7x)/6)`


Prove that:

`tan^-1  ((sqrt(1 + x) - sqrt(1 - x))/(sqrt(1 + x) + sqrt(1 - x))) = pi/4 - 1/2 cos^-1 x`, for `- 1/sqrt2 <= x <= 1`

[Hint: put x =  cos 2θ]


Find the domain of the following function:

`f(x) = sin^-1x + sinx`


Find the set of values of `cosec^-1(sqrt3/2)`


In ΔABC prove that `(b + c - a) tan  "A"/(2) = (c + a - b)tan  "B"/(2) = (a + b - c)tan  "C"/(2)`.


Find the value of `cos^-1 (1/2) + tan^-1 (1/sqrt(3))`


Find the principal value of the following:

`sin^-1 (- 1/2)`


Express `tan^-1 [(cos x)/(1 - sin x)], - pi/2 < x < (3pi)/2` in the simplest form.


lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______ 


The principle solutions of equation tan θ = -1 are ______ 


The value of cot (- 1110°) is equal to ______.


The value of `cos(pi/4 + x) - cos(pi/4 - x)` is ______.


Prove that `cot(pi/4 - 2cot^-1 3)` = 7


Show that `2tan^-1 (-3) = (-pi)/2 + tan^-1 ((-4)/3)`


Prove that `tan^-1  1/4 + tan^-1  2/9 = sin^-1  1/sqrt(5)`


If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA  "n" in "I"`, then x = ____________.


Consider f(x) = sin–1[2x] + cos–1([x] – 1) (where [.] denotes greatest integer function.) If domain of f(x) is [a, b) and the range of f(x) is {c, d} then `a + b + (2d)/c` is equal to ______. (where c < d) 


If y = `tan^-1  (sqrt(1 + x^2) - sqrt(1 - x^2))/(sqrt(1 + x^2) + sqrt(1 - x^2))`, then `dy/dx` is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×