Advertisements
Advertisements
Question
Find the value of :
tan (– 690°)
Advertisements
Solution
tan (– 690°) = – tan 690°
= – tan (720° – 30°)
= – tan (2 × 360° – 30°)
= – (– tan30°)
= tan 30°
= `1/sqrt(3)`
APPEARS IN
RELATED QUESTIONS
Find the value of:
sin 15°
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 :
sec 240°
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:
`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:
`("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))` = 1
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:
tan 20° tan 80° cot 50° = `sqrt(3)`
Prove the following:
`tan pi/8 = sqrt(2) - 1`
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 ____________.
`(1 - 2[cos 60^circ - cos 80^circ])/(2 sin 10^circ)` = ______.
The value of sin 495° is ______.
The value of sin(– 1125°) is ______.
The value of `cos π/8 + cos (3π)/8 + cos (5π)/8 + cos (7π)/8` is ______.
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 ______.
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 ______.
cos 1° + cos 2° + cos 3° + ... + cos 180° is equal to ______.
If ΔABC is a right angled at C, then tan A + tan B is equal to ______.
If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to ______.
The value of sin 930° is ______.
The value of cos(– 870°) is ______.
The value of sin 135° cosec 225° tan 150° cot 315° 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 ______.
sin (270° – θ) sin (90° – θ) – cos ( 270° – θ) cos (90° + θ) is ______.
