Home / Aptitude Tests / Mathematics / Use the graph of sin...

Use the graph of sin (θ) above to estimate the value o...

$Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for $0^o ≤ θ ≤ 360^o$$

Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for $0^o ≤ θ ≤ 360^o$

θ = 223$^o$, 305$^o$

θ = 210$^o$, 330$^o$

θ = 185$^o$, 345$^o$

θ = 218$^o$, 323$^o$

Correct answer is D

On the $y$-axis, each box is $\frac{1 - 0}{5} = \frac{1}{5}$ = 0.2unit

On the $x$-axis, each box is $\frac{90 - 0}{6} = \frac{90}{6} = 15^o$

⇒ $θ_1 = 180^o + (2.5\times15^o) = 180^o + 37.5^o = 217.5^o ≃ 218^o $(2 and half boxes were counted to the right of 180$^o$)

⇒ $θ_2 = 270^o + (3.5\times15^o) = 270^o + 52.5^o = 322.5^o ≃ 323^o $(3 and half boxes were counted to the right of 270$^o$)

∴ $θ = 218^o, 323^o$

See all Mathematics questions & answers

See more JAMB questions & answers

Use the graph of sin (θ) above to estimate the value of θ when sin (θ) = -0.6 for \(0^o ≤ θ ≤ 360^o\)