Using Pythagorean Identities - Math
Card 1 of 16
Simplify

Simplify
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. Thus: ![[\cos(x)/\sin(x)]\times\sin(x)=\cos(x)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/27160/gif.latex)
. Thus:
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Simplify

Simplify
Tap to reveal answer

and
.
and
.
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Simplify
.
Simplify .
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Remember that
. We can rearrange this to simplify our given equation:


Remember that . We can rearrange this to simplify our given equation:
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Simplify:

Simplify:
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Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are
and
.
Substitute and solve.



Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are and
.
Substitute and solve.
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Simplify

Simplify
Tap to reveal answer
. Thus: ![[\cos(x)/\sin(x)]\times\sin(x)=\cos(x)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/27160/gif.latex)
. Thus:
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Simplify

Simplify
Tap to reveal answer

and
.
and
.
← Didn't Know|Knew It →
Simplify
.
Simplify .
Tap to reveal answer
Remember that
. We can rearrange this to simplify our given equation:


Remember that . We can rearrange this to simplify our given equation:
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are
and
.
Substitute and solve.



Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are and
.
Substitute and solve.
← Didn't Know|Knew It →
Simplify

Simplify
Tap to reveal answer
. Thus: ![[\cos(x)/\sin(x)]\times\sin(x)=\cos(x)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/27160/gif.latex)
. Thus:
← Didn't Know|Knew It →
Simplify

Simplify
Tap to reveal answer

and
.
and
.
← Didn't Know|Knew It →
Simplify
.
Simplify .
Tap to reveal answer
Remember that
. We can rearrange this to simplify our given equation:


Remember that . We can rearrange this to simplify our given equation:
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are
and
.
Substitute and solve.



Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are and
.
Substitute and solve.
← Didn't Know|Knew It →
Simplify

Simplify
Tap to reveal answer
. Thus: ![[\cos(x)/\sin(x)]\times\sin(x)=\cos(x)](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/27160/gif.latex)
. Thus:
← Didn't Know|Knew It →
Simplify

Simplify
Tap to reveal answer

and
.
and
.
← Didn't Know|Knew It →
Simplify
.
Simplify .
Tap to reveal answer
Remember that
. We can rearrange this to simplify our given equation:


Remember that . We can rearrange this to simplify our given equation:
← Didn't Know|Knew It →
Simplify:

Simplify:
Tap to reveal answer
Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are
and
.
Substitute and solve.



Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.
The two identities used in this problem are and
.
Substitute and solve.
← Didn't Know|Knew It →