Using Basic and Definitional Identities - High School Math
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What is the 
of 
?
What is the
When working with basic trigonometric identities, it's easiest to remember the mnemonic: 
.
,
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
When working with basic trigonometric identities, it's easiest to remember the mnemonic:
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
Compare your answer with the correct one above
What is the 
of 
?
What is the
When working with basic trigonometric identities, it's easiest to remember the mnemonic: 
.
,
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
When working with basic trigonometric identities, it's easiest to remember the mnemonic:
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
Compare your answer with the correct one above
What is the 
of 
?
What is the
When working with basic trigonometric identities, it's easiest to remember the mnemonic: 
.
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
When working with basic trigonometric identities, it's easiest to remember the mnemonic:
When one names the right triangle, the opposite side is opposite to the angle, the adjacent side is next to the angle, and the hypotenuse spans the two legs of the right angle.
Compare your answer with the correct one above
Simplify 
.
Simplify
Simplifying trionometric expressions or identities often involves a little trial and error, so it's hard to come up with a strategy that works every time. A lot of times you have to try multiple strategies and see which one helps.
Often, if you have any form of 
or 
in an expression, it helps to rewrite it in terms of sine and cosine. In this problem, we can use the identities 
and 
.
.
This doesn't seem to help a whole lot. However, we should recognize that 
because of the Pythagorean identity 
.
We can cancel the 
terms in the numerator and denominator.
.
Simplifying trionometric expressions or identities often involves a little trial and error, so it's hard to come up with a strategy that works every time. A lot of times you have to try multiple strategies and see which one helps.
Often, if you have any form of
This doesn't seem to help a whole lot. However, we should recognize that
We can cancel the
Compare your answer with the correct one above