हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Choose the correct alternative:ABABBCBCCACAsin(A-B)cosAcosB+sin(B-C)cosBcosC+sin(C-A)cosCcosA is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
`(sin("A" - "B"))/(cos"A" cos"B") + (sin("B" - "C"))/(cos"B" cos"C") + (sin("C" - "A"))/(cos"C" cos"A")` is 

विकल्प

  • sin A + sin B + sin C

  • 1

  • 0

  • cos A + cos B + cos C

MCQ
Advertisements

उत्तर

0

shaalaa.com
Trigonometric Functions and Their Properties
  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 11 | पृष्ठ १५०

संबंधित प्रश्न

Find the values of cos(300°)


Show that `sin^2  pi/18 + sin^2  pi/9 + sin^2  (7pi)/18 + sin^2  (4pi)/9` = 2


If sin A = `3/5` and cos B = `9/41 0 < "A" < pi/2, 0 < "B" < pi/2`, find the value of sin(A + B)


If sin A = `3/5` and cos B = `9/41, 0 < "A" < pi/2, 0 < "B" < pi/2`, find the value of cos(A – B)


Show that tan(45° + A) =  `(1 + tan"A")/(1 - tan"A")`


Show that tan(45° − A) = `(1 - tan "A")/(1 + tan "A")`


Find the value of cos 2A, A lies in the first quadrant, when sin A = `4/5`


If A + B = 45°, show that (1 + tan A)(1 + tan B) = 2


Show that `cot(7 1^circ/2) = sqrt(2) + sqrt(3) + sqrt(4) + sqrt(6)`


Prove that `32(sqrt(3)) sin  pi/48  cos  pi/48  cos  pi/24  cos  pi/12  cos  pi/6` = 3


Show that sin 12° sin 48° sin 54° = `1/8`


Show that `cos  pi/15  cos  (2pi)/15  cos  (3pi)/15  cos  (4pi)/15  cos  (5pi)/15  cos  (6pi)/15  cos  (7pi)/15 = 1/128`


Show that `(sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x)` = tan 2x


Prove that sin x + sin 2x + sin 3x = sin 2x (1 + 2 cos x)


Prove that `sin  theta/2 sin  (7theta)/2 + sin  (3theta)/2 sin  (11theta)/2` =  sin 2θ sin 5θ


Prove that `(sin x + sin 3x + sin 5x + sin 7x)/(cos x + cos x + cos 5x  cos 7x)` = tan 4x


Show that cot(A + 15°) – tan(A – 15°) = `(4cos2"A")/(1 + 2 sin2"A")`


If A + B + C = 180°, prove that cos A + cos B − cos C = `- 1 + 4cos  "A"/2 cos  "B"/2 sin  "C"/2`


Choose the correct alternative:
Let fk(x) = `1/"k" [sin^"k" x + cos^"k" x]` where x ∈ R and k ≥ 1. Then f4(x) − f6(x) = 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×