Question

From the figure, write tan x, sin (90° − x), cos y.​

Answer 1

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

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

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

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

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

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

$\displaystyle \sf{\tan( {90}^{ \circ} - x) = \cot x = \frac{AD}{BD}}$

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