We started on discussing about trigonometric identities. It is basically proving that both sides of an equation are equal. To help you do this, you should always consider the following identities:
sin θ | = | 1 csc θ | csc θ | = | 1 sin θ | |
cos θ | = | 1 sec θ | sec θ | = | 1 cos θ | |
tan θ | = | 1 cot θ | cot θ | = | 1 tan θ |
a) | sin²θ + cos²θ | = | 1 |
b) | 1 + tan²θ | = | sec²θ |
c) | 1 + cot²θ | = | csc ²θ |
tan θ = | sin θ cos θ | cot θ = | cos θ sin θ |
We express everything in terms of sin y and cos y and then simplify:
Just play around with the equation until you end up having both sides equal. BUT STILL MAKE SURE THAT YOU ARE PLAYING IT RIGHT!
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