# Common Core: High School - Geometry : Sine and Cosine Relationship of Complementary Angles: CCSS.Math.Content.HSG-SRT.C.7

## Example Questions

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### Example Question #1 : Sine And Cosine Relationship Of Complementary Angles: Ccss.Math.Content.Hsg Srt.C.7

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #38 : Similarity, Right Triangles, & Trigonometry

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #1 : Sine And Cosine Relationship Of Complementary Angles: Ccss.Math.Content.Hsg Srt.C.7

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #1 : Sine And Cosine Relationship Of Complementary Angles: Ccss.Math.Content.Hsg Srt.C.7

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #41 : Similarity, Right Triangles, & Trigonometry

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #1 : Sine And Cosine Relationship Of Complementary Angles: Ccss.Math.Content.Hsg Srt.C.7

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #43 : Similarity, Right Triangles, & Trigonometry

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #44 : Similarity, Right Triangles, & Trigonometry

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #45 : Similarity, Right Triangles, & Trigonometry

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

### Example Question #1 : Sine And Cosine Relationship Of Complementary Angles: Ccss.Math.Content.Hsg Srt.C.7

Simplify

Explanation:

The first step to simplifying is to remember an important trig identity.

If we rewrite it to look like the denominator, it is.

Now we can substitute this in the denominator.

Now write each term separately.

Remember the following identities.

Now simplify, and combine each term.

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