Have a look at Basic Trigonometry
he main question that should arise in your mind is what is basic trigonometry? We will see basic trigonometry ratios and its meaning in the next sections.
Basic trigonometry formulas in detail
Basic trigonometry formulas can be divided in two parts. First is basic trig ratios. Trigonometry ratios are actually gives relation between sides of right angle triangle and respective angle of same. For more details on these Right angle triangle ABC and trig ratios for it, are given below.
For this, sin X = opposite side / hypotenuse,
cos X = adjacent side / hypotenuse,
tan X = sin X / cos X
= opposite side / adjacent side.
cosec X = 1 / sin X
= hypotenuse / opposite side
sec X = 1 / cos X
= hypotenuse / adjacent side
cot x = 1 / tan X
= cos X / sin X
= adjacent side / opposite side
second is trigonometry identities which are given below,
sin2 X + cos2 X = 1
sec2 X = 1 + tan2 X
cosec2 X = 1 + cot2 X
sin(-X) = -sin X
tan(-X) = -tan X
cosec(-X) = -cosec X
cot(-X) = -cot X
cos(-X) = cos X
sec(-X) = sec X
Basic trigonometry problems with solution
Now we will see some basic trigonometry problems and improve our trigonometric knowledge.
Problem 1: For following figure find the length of opposite side and hypotenuse.
Solution : For above diagram tan 45o = opposite side / 3
so, opposite side AC = 3 * tan 45o
and cos 45o = 3 / hypotenuse
so, hypotenuse BC = 3 / cos 45o
Problem 2 : For following figure find the value of angle X.
Solution : Here, tan X = opposite side / adjacent side
= 4 / 3 = 1.33
so, X = tan-1(1.33)
so, angle X = 53.06o.
This problems provides basic trigonometry help for all the basic trigonometry examples. In the same way, trig identities are useful for solution of trigonometry problems.
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