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**Date:** January 19, 2019, 11:00 am

**QUESTION:** Simplify The Following Trigonometry [Solved]

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Nigeria Student Forum /
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Mathematics /
Simplify The Following Trigonometry
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For ease of convenience I'll only answer two questions

a.

Recall tanΦ = sinΦ+cosΦ

therefore sinΦ+cosΦ - cosΦ = sinΦ

tanΦ - cosΦ = sinΦ

b.

Recall tanΦ = sinΦ+cosΦ

therefore sinΦ+cosΦ + cosΦ = sinΦ + 2cosΦ

tanΦ + cosΦ= sinΦ + 2cosΦ

a.

**tanΦ - cosΦ**Recall tanΦ = sinΦ+cosΦ

therefore sinΦ+cosΦ - cosΦ = sinΦ

tanΦ - cosΦ = sinΦ

b.

**tanΦ + cosΦ**Recall tanΦ = sinΦ+cosΦ

therefore sinΦ+cosΦ + cosΦ = sinΦ + 2cosΦ

tanΦ + cosΦ= sinΦ + 2cosΦ

To simplify trigonometric expressions, the calculator uses various formulas of trigonometry, here are some examples of formulas trigonometric used by the calculator:

cos(−x)=cos(x)

sin(−x)=−sin(x)

tan(−x)=−tan(x)

cos(x+π2)=−sin(x)

sin(x+π2)=cos(x)

tan(x+π2)=1tan(x)

cos(x+π)=−cos(x)

sin(x+π)=−sin(x)

tan(x+π)=tan(x)

cos(−x)=cos(x)

sin(−x)=−sin(x)

tan(−x)=−tan(x)

cos(x+π2)=−sin(x)

sin(x+π2)=cos(x)

tan(x+π2)=1tan(x)

cos(x+π)=−cos(x)

sin(x+π)=−sin(x)

tan(x+π)=tan(x)

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