Question
I'm trying to verify these trigonometric identities.
1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x)
2. csc(x) - sin(x) = cos(x) * cot(x)
3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x)
4. csc(-x)/sec(-x) = -cot(x)
1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x)
2. csc(x) - sin(x) = cos(x) * cot(x)
3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x)
4. csc(-x)/sec(-x) = -cot(x)
Answers
Can you post your attempts?
I will give you a kickstart:
1/(sec(x)tan(x))
=1/(1/cos(x) * sin(x)/cos(x))
=cos²(x)/sin(x)
=(1-sin²(x))/sin(x)
=csc(x) - sin(x)
I will give you a kickstart:
1/(sec(x)tan(x))
=1/(1/cos(x) * sin(x)/cos(x))
=cos²(x)/sin(x)
=(1-sin²(x))/sin(x)
=csc(x) - sin(x)
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