theta is between 0 and 180 degrees
2007-11-25 19:29:57 · 5 answers · asked by nat king 1 in Science & Mathematics ➔ Mathematics
2 tan theta = 7
tan theta =7/2
inverse tan (7/2) = 74.0546041 degrees
2007-11-25 19:35:38 · answer #1 · answered by j_r_colbert 2 · 1⤊ 1⤋
2 tan theta - 7 = 0
2 tan theta = 7 /2
tan theta = 7/2
7/2 is positive, therefor theta is in the first or third quadrant (CAST)
theta = 74 (first quadrant)
theta = 254 (third quadrant)
but your theta is between 0 and 180 therefore we are considering only the first 2 quadrants. From the above we see that theta = 74 degrees (I used tables, so the answer is rounded)
2007-11-25 19:42:18 · answer #2 · answered by Anonymous · 0⤊ 1⤋
2tanθ - 7 = 0
2tanθ = 7
tanθ = 7/2 = 3.5
θ = arctan (3.5)
θ = 74.05
2007-11-25 19:39:10 · answer #3 · answered by john b2 1 · 0⤊ 1⤋
2 tan θ = 7
tan θ = 7 / 2
θ = 74.1°
2007-11-25 20:03:21 · answer #4 · answered by Como 7 · 2⤊ 1⤋
tantheta=7/2=3.5
theta =tan^-1(3.5)=74degree
theta=74degree
2007-11-25 19:36:30 · answer #5 · answered by someone else 7 · 1⤊ 1⤋