Advertisements
Advertisements
प्रश्न
Find the value of:
sec (–855°)
Advertisements
उत्तर
We simplify the angle by adding or subtracting multiples of 360° until we get an angle between 0° and 360°.
−855∘ + 3 × 360∘ = −855∘ + 1080∘ = 225∘
sec (−855∘) = sec (225∘)
225∘ is in the third quadrant, where cosine is negative.
Reference angle: 225∘ − 180∘ = 45∘
cos (225∘) = −cos (45∘) = `-1/sqrt2`
sec (225∘) = `1/cos(225^\circ) = 1/(-1/sqrt2) = -sqrt2`
sec (−855∘) = `-sqrt2`
APPEARS IN
संबंधित प्रश्न
Find the value of:
sin 15°
Find the values of:
cos 75°
Find the values of:
tan 105°
Find the value of sin 690°.
Find the value of :
sin (495°)
Find the value of :
cos 315°
Find the value of :
tan 225°
Find the value of :
tan (– 690°)
Find the value of :
cosec 780°
Find the value of :
cot (– 1110°)
Prove the following:
`(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))` = cot2x
Prove the following:
sec 840° . cot (– 945°) + sin 600° tan (– 690°) = `3/2`
Prove the following:
`(sin^3(pi + x)sec^2(pi - x)tan(2pi - x))/(cos^2(pi/2 + x)sin(pi - x)"cosec"^2 - x)` = tan3x
Prove the following:
cosec 48° + cosec 96° + cosec 192° + cosec 384° = 0
Prove the following:
sin 20° sin 40° sin 80° = `sqrt(3)/8`
Prove the following:
sin 18° = `(sqrt(5) - 1)/4`
Prove the following:
sin 36° = `(sqrt(10 - 2sqrt(5)))/4`
Prove the following:
`tan pi/8 = sqrt(2) - 1`
If θ = `(17π)/3` then, tan θ – cot θ = ______.
`(1 - 2[cos 60^circ - cos 80^circ])/(2 sin 10^circ)` = ______.
The value of sin(– 1125°) is ______.
Find the value of `cos ((29 π)/3)`.
If cos θ = `- sqrt(3)/2` and sin α = `-3/5`, where θ does not and α lies in the third quadrant, then `(2 tan α + sqrt(3) tan θ)/(cot^2 θ + cos alpha)` is equal to ______.
In a ΔPQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then ∠R is equal to ______.
The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is ______.
The value of the expression sin6 θ + cos6 θ + 3 sin2 θ . cos2 θ is ______.
The value of cos(– 870°) is ______.
The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is ______.
The value of sin 150° cos 120° + cos 330° sin 660° is ______.
The value of `2 sin^2 π/6 + "cosec"^2 (7π)/6 cos^2 π/3` is ______.
sin (270° – θ) sin (90° – θ) – cos ( 270° – θ) cos (90° + θ) is ______.
