If cos θ = 5/13, what is the value of tan θ for 0 < θ < 90° ?
13
5
13/5
12/5
5/12
Correct answer is D
cosθ=513
⟹ In the right- angled triangle, with an angle θ, the adjacent side to θ = 5 and the hypotenuse = 13.
∴
opp^2 = 169 - 25 = 144 \implies opp = \sqrt{144}
= 12.
\tan \theta = \frac{opp}{adj} = \frac{12}{5}
Sin 60° has the same value as
I. Sin 120°
II. cos 240°
III. -sin 150°
IV. cos 210°
V. sin 240°
I only
II only
IV only
III only
IV and V only
Correct answer is A
In the second quadrant, \sin 120 = \sin (180 - 120)
= \sin 60
A regular polygon has each of its exterior angles as 18o. How many sides has the polygon
10
11
12
20
24
Correct answer is D
360/18 = 20