Advertisements
Advertisements
प्रश्न
Find the values of `sin (-(11pi)/3)`
Advertisements
उत्तर
`sin (-(11pi)/3) = - sin (11pi)/3`
= `- sin 11/3 xx 180`
= `- sin 11/3 xx 360/2`
= `- sin 360^circ (11/6)`
= `- sin 360^circ (2 - 1/6)`
= `- [sin(360^circ xx 2) - 360^circ/6]`
= – (– sin 60°)
= `sqrt(3)/2`
APPEARS IN
संबंधित प्रश्न
Find the values of sin (– 1110°)
Find the values of cos(300°)
If sin x = `15/17` and cos y = `12/13, 0 < x < pi/2, 0 < y < pi/2`, find the value of cos(x − y)
Find the value of sin105°.
Prove that cos(π + θ) = − cos θ
Prove that sin(n + 1) θ sin(n – 1) θ + cos(n + 1) θ cos(n – 1)θ = cos 2θ, n ∈ Z
Prove that cos 8θ cos 2θ = cos25θ – sin23θ
Show that tan(45° + A) = `(1 + tan"A")/(1 - tan"A")`
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)`
If θ + Φ = α and tan θ = k tan Φ, then prove that sin(θ – Φ) = `("k" - 1)/("k" + 1)` sin α
If cos θ = `1/2 ("a" + 1/"a")`, show that cos 3θ = `1/2 ("a"^3 + 1/"a"^3)`
Prove that sin 4α = `4 tan alpha (1 - tan^2alpha)/(1 + tan^2 alpha)^2`
If A + B = 45°, show that (1 + tan A)(1 + tan B) = 2
Express the following as a product
cos 35° – cos 75°
Prove that `(sin 4x + sin 2x)/(cos 4x + cos 2x)` = tan 3x
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 sin2A + sin2B + sin2C = 2 + 2 cos A cos B cos C
If A + B + C = 180°, prove that sin A + sin B + sin C = `4 cos "A"/2 cos "B"/2 cos "C"/2`
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:
cos 1° + cos 2° + cos 3° + ... + cos 179° =
