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For a right angle triangle:-
hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
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∙ 12y ago
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How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
How can i find out the hypotenuse if i only have 1 side and an angle?
Use the appropriate sine or cosine ratio.
How do you find sides of right triangle given only the hypotenuse and all angles?
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
Why sine ratio is the ratio of opposite side and hypotenuse?
Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
How do you find 2 missing sides of a right triangle?
Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
How can i find out the hypotenuse if i only have 1 side and an angle?
Use the appropriate sine or cosine ratio.
How do you find sides of right triangle given only the hypotenuse and all angles?
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
The trigonometric ratio that compares the opposite side going to the hypotenuse is a SINE b TANGENT c Cosine?
a) sine
Why sine ratio is the ratio of opposite side and hypotenuse?
Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.
What are sine and cosine functions?
Sine allows us to find out what a third side or an angle is using the equation sin(x) = opposite over hypotenuse (x being the angle). Cosine has the same function but instead uses the equation cosine(x)= opposite over adjacent
Why will sine or cosine never get over one as a decimal?
The sine and the cosine of an angle are both (the leg of a right triangle) divided by (the hypotenuse of the same triangle). The leg can't be longer than the hypotenuse, so this fraction can't be more than ' 1 '.
What is sahcahtoa?
Sohcahtoa is an abbreviation (SOH) sine opposite hypotenuse (CAH) cosine adjacent hypotenuse (TOA) tangent opposite adjacent.
How do you solve sohcahtoa?
It means for any right angle triangle:- sine = opposte/hypotenuse cosine = adjacent/hypotenuse tangent = opposite/adjacent
