Advertisements
Advertisements
प्रश्न
Express the following as a sum or difference
sin 4x cos 2x
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]
APPEARS IN
संबंधित प्रश्न
Find the values of sin (– 1110°)
Find the values of tan(1050°)
Find the values of cot(660°)
If sin x = `15/17` and cos y = `12/13, 0 < x < pi/2, 0 < y < pi/2`, find the value of tan(x + y)
Find the value of tan `(7pi)/12`
Find a quadratic equation whose roots are sin 15° and cos 15°
Show that tan 75° + cot 75° = 4
Show that tan(45° − A) = `(1 - tan "A")/(1 + tan "A")`
Prove that (1 + tan 1°)(1 + tan 2°)(1 + tan 3°) ..... (1 + tan 44°) is a multiple of 4
Prove that `tan (pi/4 + theta) - tan(pi/4 - theta)` = 2 tan 2θ
Express the following as a product
cos 65° + cos 15°
Show that `((cos theta -cos 3theta)(sin 8theta + sin 2theta))/((sin 5theta - sin theta) (cos 4theta - cos 6theta))` = 1
Prove that sin x + sin 2x + sin 3x = sin 2x (1 + 2 cos x)
Prove that `(sin x + sin 3x + sin 5x + sin 7x)/(cos x + cos x + cos 5x cos 7x)` = tan 4x
If x + y + z = xyz, then prove that `(2x)/(1 - x^2) + (2y)/(1 - y^2) + (2z)/(1 - z^2) = (2x)/(1 - x^2) (2y)/(1 - y^2) (2z)/(1 - z^2)`
Choose the correct alternative:
`1/(cos 80^circ) - sqrt(3)/(sin 80^circ)` =
Choose the correct alternative:
If cos 28° + sin 28° = k3, then cos 17° is equal to
Choose the correct alternative:
`(1 + cos pi/8) (1 + cos (3pi)/8) (1 + cos (5pi)/8) (1 + cos (7pi)/8)` =
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) =
