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Use The Sum And Difference Formulas For Sine To Evaluate A Trigonometric Function

Use the sum or difference formula to evaluate Cos 135⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{6}}{4}$

$\frac{-1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 195⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{-\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 165⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{\sqrt{6}}{4}$

$-\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

Use the sum or difference formula to evaluate Sin 120⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 210⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

-1/2

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 165⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{\sqrt{6\ }}{4}$

$\frac{\sqrt{6}}{4}-\frac{\sqrt{2\ \ }}{4}$

Use the sum or difference formula to evaluate Cos 75⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 150⁰

$-\frac{\sqrt{3}}{2}$

1/2

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 210⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

-1/2

$\frac{-\sqrt{3}}{2}$

Use the sum or difference formula to evaluate Cos 120⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

-1/2

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$

Questions

Time

Score

Use The Sum And Difference Formulas For Sine To Evaluate A Trigonometric Function

Use the sum or difference formula to evaluate Cos 1350

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

﻿64\frac{\sqrt{6}}{4}46​​﻿

﻿−12\frac{-1}{\sqrt{2}}2​−1​﻿

Use the sum or difference formula to evaluate Sin 1950

﻿64+24\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}46​​+42​​﻿

﻿−64−24\frac{-\sqrt{6}}{4}-\frac{\sqrt{2}}{4}4−6​​−42​​﻿

﻿12\frac{1}{\sqrt{2}}2​1​﻿

Use the sum or difference formula to evaluate Cos 1650

﻿64+24\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}46​​+42​​﻿

﻿64\frac{\sqrt{6}}{4}46​​﻿

﻿−64−24-\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}−46​​−42​​﻿

Use the sum or difference formula to evaluate Sin 1200

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

﻿32\frac{\sqrt{3}}{2}23​​﻿

﻿322−122\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}22​3​​−22​1​﻿

Use the sum or difference formula to evaluate Sin 2100

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

-1/2

﻿12\frac{1}{\sqrt{2}}2​1​﻿

Use the sum or difference formula to evaluate Sin 1650

﻿64+24\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}46​​+42​​﻿

﻿6 4\frac{\sqrt{6\ }}{4}46 ​​﻿

﻿64−2 4\frac{\sqrt{6}}{4}-\frac{\sqrt{2\ \ }}{4}46​​−42 ​​﻿

Use the sum or difference formula to evaluate Cos 750

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

﻿64−24\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}46​​−42​​﻿

﻿322−122\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}22​3​​−22​1​﻿

Use the sum or difference formula to evaluate Cos 1500

﻿−32-\frac{\sqrt{3}}{2}−23​​﻿

1/2

﻿12\frac{1}{\sqrt{2}}2​1​﻿

Use the sum or difference formula to evaluate Cos 2100

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

-1/2

﻿−32\frac{-\sqrt{3}}{2}2−3​​﻿

Use the sum or difference formula to evaluate Cos 1200

﻿322+122\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}22​3​​+22​1​﻿

-1/2

﻿322−122\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}22​3​​−22​1​﻿

Incorrect

Great!

Use the sum or difference formula to evaluate Cos 135⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{6}}{4}$

$\frac{-1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 195⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{-\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 165⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{\sqrt{6}}{4}$

$-\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

Use the sum or difference formula to evaluate Sin 120⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 210⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Sin 165⁰

$\frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$

$\frac{\sqrt{6\ }}{4}$

$\frac{\sqrt{6}}{4}-\frac{\sqrt{2\ \ }}{4}$

Use the sum or difference formula to evaluate Cos 75⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 150⁰

$-\frac{\sqrt{3}}{2}$

$\frac{1}{\sqrt{2}}$

Use the sum or difference formula to evaluate Cos 210⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{-\sqrt{3}}{2}$

Use the sum or difference formula to evaluate Cos 120⁰

$\frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}$

$\frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}$