Question

prove that sec 30°=2/√3​

Answer 1

Step-by-step explanation:

secant ∠α = Hypotenuse/Adjacent Side

= Hypotenuse/Base

sec ∠α = h/b

Now, sec ∠α = 1/cos ∠α

Therefore, sec 300 = 1/cos 300

sec 30 degrees

The value of cos 300 = √3/2

Hence, the value of sec 300 = 2/√3

In the same way, we can write the other values sec ratios, such as,

sec 00 = 1/cos 0= 1/1 = 1

sec 450 = 1/cos 450 = 1/1/√2 = √2

sec 600 = 1/cos 600 = 1/1/2= 2

sec 900 = l/cos 900 = 1/0= ∞

Given below is the trigonometry table for the trigonometric ratios covering the values of degrees 00, 300, 450, 600, 900.