Given that t is in quadrant II and sin(t)=(7/25), how do you find the exact values of cos(t), tan(t), cot(t), sec(t), and csc(t)?
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Given ( \sin(t) = \frac{7}{25} ) and that ( t ) is in quadrant II:

( \cos(t) = \sqrt{1  \sin^2(t)} = \sqrt{1  \left(\frac{7}{25}\right)^2} = \sqrt{1  \frac{49}{625}} = \sqrt{\frac{576}{625}} = \frac{24}{25} )

( \tan(t) = \frac{\sin(t)}{\cos(t)} = \frac{\frac{7}{25}}{\frac{24}{25}} = \frac{7}{24} )

( \cot(t) = \frac{1}{\tan(t)} = \frac{24}{7} )

( \sec(t) = \frac{1}{\cos(t)} = \frac{25}{24} )

( \csc(t) = \frac{1}{\sin(t)} = \frac{25}{7} )
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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