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## Express x and y in terms of trigonometric ratios of θ .

Given information:

The right angle triangle with length of its sides and angle θ .

Formula used:

The trigonometric ratios for a right angle triangle are defined as,

sinθ=oppositehypotenuse,cosθ=adjacenthypotenuse,tanθ=oppositeadjacent,cscθ=hypotenuseopposite,secθ=hypotenuseadjacent and cotθ=adjacentopposite .

Calculation:

Consider the right angle triangle with length of its sides and angle θ .

Observe that opposite side is of length x units, adjacent side is of length 4 units and hypotenuse has length y units.

Recall that the trigonometric ratios for a right angle triangle are defined as,

sinθ=oppositehypotenuse,cosθ=adjacenthypotenuse,tanθ=oppositeadjacent,cscθ=hypotenuseopposite,secθ=hypotenuseadjacent and cotθ=adjacentopposite .

Apply it, to estimate the value of trigonometric ratios,

The value of tangent function is,

tanθ=oppositeadjacenttanθ=x4

Multiply both sides by 4,

4tanθ=4⋅x44tanθ=x

The value of cosine function is,

cosθ=adjacenthypotenusecosθ=4y

Multiply both sides by y ,

ycosθ=y×4yycosθ=4

Divide both sides by cosθ

y=4cosθ

Hence, the value in terms of trigonometric ratios are 4tanθ=x and y=4cosθ .

PDF Trigonometric Ratios – George Brown College – Note: a useful way to remember the primary trig ratios is the acronym . SOH CAH TOA. In addition to the primary trigonometric ratios, there are 3 reciprocal trigonometric ratios: cosecant (csc), secant (sec) and cotangent (cot).About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us CreatorsTrigonometric Ratios: Cosine Right triangles have ratios that are used to represent their base angles. Cosine ratios, along with sine and tangent ratios, are ratios of two different sides of a right triangle.Cosine ratios are specifically the ratio of the side adjacent to the represented base angle over the hypotenuse.

Express as Single Trigonometric Ratio and Evaluate – YouTube – So I have a triangle with the following info. It is a right triangle. Its angle is just θ. Its hypotenuse is (y). Its adjacent side is (2). And its opposite side is (x). I am not sure how to answer it. Thanks,Express x and y in terms of trigonometric ratios of O. (Express your answer in terms of only.) x = y = Get more help from Chegg Solve it with our algebra problem solver and calculatorExpress this number in scientific notation. 3,868,000,000 Help!!!!!Sam has $25 but owes a friend. He doesn't want to part with his money all at once, so he agrees to pay him back $2 a day.

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