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 :
cos 315°
Find the value of :
tan 225°
Find the value of :
tan (– 690°)
Find the value of :
sec 240°
Prove the following:
`(cos(pi + x) cos(-x))/(sin(pi - x)cos(pi/2 + x))` = cot2x
Prove the following:
`cos((3pi)/2 + x) cos(2pi + x)[cot((3pi)/2 - x) + cot(2pi + x)]` = 1
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:
cosθ + sin (270° + θ) − sin (270° − θ) + cos (180° + θ) = 0
Select the correct option from the given alternatives :
If sin θ = n sin (θ + 2α), then tan (θ + α) is equal to
Prove the following:
tan 20° tan 80° cot 50° = `sqrt(3)`
Prove the following:
cosec 48° + cosec 96° + cosec 192° + cosec 384° = 0
Prove the following:
tan6° tan42° tan66° tan78° = 1
If f(x) = `(2"x" + 3)/(3"x" - 2)`, `"x" ≠ 2/3`, then the function fof is ____________.
If θ = `(17π)/3` then, tan θ – cot θ = ______.
The value of `sin((25π)/3)` is ______.
The value of `cos((41π)/4)` is ______.
The value of `cos π/8 + cos (3π)/8 + cos (5π)/8 + cos (7π)/8` is ______.
The value of `2 cot^2(π/6) + 4 tan^2(π/6) - 3 "cosec"(π/6)` is ______.
Find the value of `cos ((29 π)/3)`.
If `cosA/3 = cosB/4 = 1/5, - π/2 < A < 0` and `- π/2 < B < 0`, then the value of 2 sin A + 4 sin B is ______.
The value of `(cot 54^circ)/(tan 36^circ) + (tan 20^circ)/(cot 70^circ)` is ______.
If tan θ = `1/sqrt(7)`, then `(("cosec"^2θ - sec^2θ))/(("cosec"^2θ + sec^2θ))` is equal to ______.
cos 1° + cos 2° + cos 3° + ... + cos 180° is equal to ______.
In a ΔABC, if ∠A = `π/2`, then cos2 B + cos2 C is equal to ______.
The value of cos (270° + θ) cos (90° – θ) – sin (270° – θ) cos θ is ______.
The value of sin 930° 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 tan 315° cot(– 405°) + cot 495° tan (– 585°).
The value of sin 150° cos 120° + cos 330° sin 660° is ______.
cos 1°. cos 2°. cos 3° ...... cos 179° = ______.
sin (270° – θ) sin (90° – θ) – cos ( 270° – θ) cos (90° + θ) is ______.
