Advertisements
Advertisements
Question
For each given angle, find a coterminal angle with measure of θ such that 0° ≤ θ < 360°
– 450°
Solution
– 450° = – 720° + 270°
– 450° – 270° = – 2 × 360°
∴ Coterminal angle for – 450° is 270°
APPEARS IN
RELATED QUESTIONS
Identify the quadrant in which an angle given measure lies
25°
Identify the quadrant in which an angle given measure lies
825°
Identify the quadrant in which an angle given measure lies
– 230°
For each given angle, find a coterminal angle with measure of θ such that 0° ≤ θ < 360°
525°
For each given angle, find a coterminal angle with measure of θ such that 0° ≤ θ < 360°
1150°
For each given angle, find a coterminal angle with measure of θ such that 0° ≤ θ < 360°
– 270°
If a cos θ − b sin θ = c, show that a sin θ + b cos θ = `+- sqrt("a"^2 + "b"^2 - "c"^2)`
If sin θ + cos θ = m, show that cos6θ + sin6θ = `(4 - 3("m"^2 - 1)^2)/4`, where m2 ≤ 2
If `(cos^4α)/(cos^2β) + (sin^4α)/(sin^2β)` = 1, prove that sin4α + sin4β = 2 sin2α sin2β
If `(cos^4alpha)/(cos^2beta) + (sin^4alpha)/(sin^2beta)` = 1, prove that `(cos^4beta)/(cos^2alpha) + (sin^4beta)/(sin^2alpha)` = 1
If y = `(2sinalpha)/(1 + cosalpha + sinalpha)`, then prove that `(1 - cosalpha + sinalpha)/(1 + sinalpha)` = y
If x = `sum_("n" = 0)^oo cos^(2"n") theta, y = sum_("n" = 0)^oo sin^(2"n") theta` and z = `sum_("n" = 0)^oo cos^(2"n") theta, sin^(2"n") theta, 0 < theta < pi/2`, then show that xyz = x + y + z. [Hint: Use the formula 1 + x + x2 + x3 + . . . = `1/(1 - x), where |x| < 1]
If sec θ + tan θ = p, obtain the values of sec θ, tan θ and sin θ in terms of p
If cosec θ – sin θ = a3 and sec θ – cos θ = b3, then prove that a2b2 (a2 + b2) = 1
Eliminate θ from the equations a sec θ – c tan θ = b and b sec θ + d tan θ = c
Choose the correct alternative:
The maximum value of `4sin^2x + 3cos^2x + sin x/2 + cos x/2` is
