Show that cos^2 (60°) + sin^2 (60°) = 1 using this right angled triangle.
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Show that cos^2 (60°) + sin^2 (60°) = 1 using this right angled triangle.

[From: ] [author: ] [Date: 13-05-04] [Hit: ]
opposite opposite is 30°.sin^2(t) + cos^2(t) = 1 for any angle-you can draw diagram and simply put the value of cosine and sine....it gives u the relation u asked about.......
triangle: hypotenuse = 2
opposite = 1
adj. = sqrt of 3.
angle between hyp and adj, opposite opposite is 30°.

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Let the legs be x and y and the hypotenuse r
Then x^2+y^2 = r^2
x^2/r^2 + y^2/r^2 = 1
sin^2(t) + cos^2(t) = 1 for any angle

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you can draw diagram and simply put the value of cosine and sine....
it gives u the relation u asked about.
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