The values of the trigonometric ratios are:
9) √3/2
10) √3/3
11) √2
12) √2
13) √3
14) √3/3
15) 0
16) 3
What is trigonometric ratios?
Trigonometric ratios relate the sides of a right triangle: sine, cosine, tangent, cosecant, secant, and cotangent. They express geometric relationships.
Using trigonometric ratios of standard special angles.
9) Cos30 = √3/2
10) Tan30 = 1/√3
Rationalize
√3/3
11) Sec45 = 1/cos45
= √2
12) Csc45 = 1/sin45
= √2
13) tan(π/3) = tan60
π radians = 180⁰
tan60 = √3
14) cot(π/3) = cot60
cot = 1/tan60
= 1/√3
Rationalize
= √3/√3*√3 = √3/3
15) sin(π/4) - cos(π/4)
= sin45 - cos45
=1/√2 - 1/√2 = 0
16) tan(π/4) + csc(π/6)
tan45 + csc30
tan45 + 1/sin30
= 1 + 2
= 3