Since cot(x) = cos(x)/sin(x) and sec(x) = 1/sin(x), we can write the expression as..
cot²(x)sec²(x)
= (cos²(x)/sin²(x)) * (1/cos²(x))
Reduce cos²(x)...
1/sin²(x)
Hence, since 1/sin(x) = csc(x), the answer is csc²(x)
I hope this helps!
cot = cos/sin
sec - 1/cos
cot x = cos(x)/sin(x) and sec(x) = 1/cos(x)
So we (cos^2(x))/sin^2(x))*1/(cos^2(x))
cos^2(x) cancels, and we're left with 1/(sin^2(x)) = csc^2(x)
Jen
Come on its summer enjoy your vacation!
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Since cot(x) = cos(x)/sin(x) and sec(x) = 1/sin(x), we can write the expression as..
cot²(x)sec²(x)
= (cos²(x)/sin²(x)) * (1/cos²(x))
Reduce cos²(x)...
1/sin²(x)
Hence, since 1/sin(x) = csc(x), the answer is csc²(x)
I hope this helps!
cot = cos/sin
sec - 1/cos
cot x = cos(x)/sin(x) and sec(x) = 1/cos(x)
So we (cos^2(x))/sin^2(x))*1/(cos^2(x))
cos^2(x) cancels, and we're left with 1/(sin^2(x)) = csc^2(x)
Jen
Come on its summer enjoy your vacation!