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4. From the given figure,find tan x, sin (90 – x),cos x, cos (90 - x) andsin y ratio​

Answer»

SOLUTION

TO DETERMINE

From the given FIGURE, find tan x, sin (90 – x), cos x, cos (90 - x) and sin y ratio

EVALUATION

From the given figure

\displaystyle \sf{ \tan x =  \frac{BD}{AD}}

\displaystyle \sf{ \sin( {90}^{ \circ}   - x) = \cos x =  \frac{AD}{AB} }

\displaystyle \sf{ \cos x =  \frac{AD}{AB} }

\displaystyle \sf{\cos( {90}^{ \circ}   - x) =  \sin x =  \frac{BD}{AB}}

\displaystyle \sf{  \sin y =  \frac{AD}{AC}}

\displaystyle \sf{\tan( {90}^{ \circ}   - x) =  \<klux>COT</klux> x =  \frac{AD}{BD}}

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