मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Express the following as a sum or differencesin 4x cos 2x

Advertisements
Advertisements

प्रश्न

Express the following as a sum or difference
sin 4x cos 2x

बेरीज
Advertisements

उत्तर

sin A cos B = `1/2`[sin (A + B) + sin (A – B )]

Take A = 4x , B = 2x

sin 4x . cos 2x = `1/2`[sin(4x + 2x) + sin(4x – 2x)]

sin 4x . cos 2x = `1/2`[sin 6x + sin 2x]

shaalaa.com
Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.6 [पृष्ठ १२१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.6 | Q 1. (ii) | पृष्ठ १२१

संबंधित प्रश्‍न

Find the values of tan(1050°)


`(5/7, (2sqrt(6))/7)` is a point on the terminal side of an angle θ in standard position. Determine the six trigonometric function values of angle θ


If x cos θ = `y cos (theta + (2pi)/3) = z cos (theta + (4pi)/3)`. find the value of xy + yz + zx


Show that cos2 A + cos2 B – 2 cos A cos B cos(A + B) = sin2(A + B)


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


Prove that `tan(pi/4 + theta) tan((3pi)/4 + theta)` = – 1


Find the value of tan(α + β), given that cot α = `1/2`, α ∈ `(pi, (3pi)/2)` and sec β = `- 5/3` β ∈ `(pi/2, pi)`


Find the value of cos 2A, A lies in the first quadrant, when cos A = `15/17`


If θ is an acute angle, then find `sin (pi/4 - theta/2)`, when sin θ = `1/25`


Prove that (1 + tan 1°)(1 + tan 2°)(1 + tan 3°) ..... (1 + tan 44°) is a multiple of 4


Express the following as a sum or difference
sin 35° cos 28°


Express the following as a product
sin 50° + sin 40°


Prove that cos(30° – A) cos(30° + A) + cos(45° – A) cos(45° + A) = `cos 2"A" + 1/4`


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


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


If A + B + C = `pi/2`, prove the following cos 2A + cos 2B + cos 2C = 1 + 4 sin A sin B sin C


If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that cosB + cosC = 1


If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that sinB + sinC = 1


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 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×