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MATHEMATICS SIX TRIGONOMETRIC RATIOS

Right triangle

For any right triangle, there are six trig ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Here are the formulas for these six trig ratios: Given a triangle, you should be able to identify all 6 ratios for all the angles (except the right angle)

FORMULAS OF THE SIX TRIGONOMETRIC RATIOS SOH – CAH - TOA

Secant

Cosine

Tangent Cotangent

Sine

Cosecant

Formula

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Need to know about six trigonometric ratios

Trigonometry Applications

Trigonometry is one of the most important branches of mathematics. Some of the applications of trigonometry are: -Measuring the heights of towers or big mountains -Determining the distance of the shore from the sea -Finding the distance between two celestial bodies -Determining the power output of solar cell panels at different inclinations -Representing different physical quantities such as mechanical waves, electromagnetic waves, etc. It is evident from the above examples that trigonometry has its involvement in a major part of our day-to-day life and much more. In most of the applications listed above, something was being measured and that is what trigonometry is all about.

What is the relationship between sin, cos and tan?

Tangent functions is equal to the ratio of sine and cosine function. Tan θ = Sin θ/Cos θ And note this sign θ called theta

What is the formula for Cotangent, Secant and Cosecant?

Cotangent is the ratio of Adjacent side and Opposite side, (Base/Perpendicular) Secant is the ratio of hypotenuse and adjacent side, (Hypotenuse/Base) Cosecant is the ratio of hypotenuse and opposite side (Hypotenuse/Perpendicular)