Advertisements
Advertisements
प्रश्न
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) =
पर्याय
`1/4`
`1/12`
`1/6`
`1/3`
Advertisements
उत्तर
`1/12`
APPEARS IN
संबंधित प्रश्न
Find the values of sin(480°)
Find the values of tan(1050°)
Prove that `(cot(180^circ + theta) sin(90^circ - theta) cos(- theta))/(sin(270^circ + theta) tan(- theta) "cosec"(360^circ + theta))` = cos2θ cotθ
Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`
Show that `sin^2 pi/18 + sin^2 pi/9 + sin^2 (7pi)/18 + sin^2 (4pi)/9` = 2
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)
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)
Find the value of cos 105°.
Prove that cos(30° + x) = `(sqrt(3) cos x - sin x)/2`
Prove that sin(45° + θ) – sin(45° – θ) = `sqrt(2) sin θ`
Prove that sin(30° + θ) + cos(60° + θ) = cos θ
Prove that cos(A + B) cos(A – B) = cos2A – sin2B = cos2B – sin2A
Prove that sin2(A + B) – sin2(A – B) = sin2A sin2B
If θ is an acute angle, then find `sin (pi/4 - theta/2)`, when sin θ = `1/25`
If θ is an acute angle, then find `cos (pi/4 + theta/2)`, when sin θ = `8/9`
Prove that `32(sqrt(3)) sin pi/48 cos pi/48 cos pi/24 cos pi/12 cos pi/6` = 3
Express the following as a product
sin 50° + sin 40°
If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that cos B – cos C = `- 1 + 2sqrt(2) cos "B"/2 sin "C"/2`
Choose the correct alternative:
`1/(cos 80^circ) - sqrt(3)/(sin 80^circ)` =
