|BSM

Questions

1 / 10

Time

Score

Use Multiple-Angle Formulas To Evaluate Trigonometric Functions

Use multiple-angle formula to evaluate sin 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate tan 18⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate sin 72⁰

2 $\frac{\left(1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate sin 54⁰

2 $\frac{\left(1+\sqrt{5}\right)}{4}$

3

Use multiple-angle formula to evaluate tan 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10-2\sqrt{5}}}$

$\frac{\left(1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}n$

Use multiple-angle formula to evaluate sin 18⁰

2 $\frac{\left(-1+\sqrt{5\ }\right)}{4}$

3

Use multiple-angle formula to evaluate tan 54⁰

$\frac{\left(1+\sqrt{5}\right)}{\sqrt{10-2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate cos 18⁰

2 $\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(10+2\sqrt{5\ }\right)}{4}$

Use multiple-angle formula to evaluate cos 54⁰

2 $\frac{\left(-1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate cos 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$

Questions

Time

Score

Use Multiple-Angle Formulas To Evaluate Trigonometric Functions

Use multiple-angle formula to evaluate sin 360

﻿(−1+5 )10+25\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}10+25​​(−1+5 ​)​﻿

﻿(−1+5 )4\frac{\left(-1+\sqrt{5\ }\right)}{4}4(−1+5 ​)​﻿

﻿((10−25))4\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}4((10−25​​))​﻿

Use multiple-angle formula to evaluate tan 180

﻿(−1+5 )10+25\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}10+25​​(−1+5 ​)​﻿

﻿(−1+5 )4\frac{\left(-1+\sqrt{5\ }\right)}{4}4(−1+5 ​)​﻿

﻿((10+25))4\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}4((10+25​​))​﻿

Use multiple-angle formula to evaluate sin 720

2

﻿(1+5)4\frac{\left(1+\sqrt{5}\right)}{4}4(1+5​)​﻿

﻿((10+25))4\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}4((10+25​​))​﻿

Use multiple-angle formula to evaluate sin 540

2

﻿(1+5)4\frac{\left(1+\sqrt{5}\right)}{4}4(1+5​)​﻿

3

Use multiple-angle formula to evaluate tan 360

﻿(−1+5 )10−25\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10-2\sqrt{5}}}10−25​​(−1+5 ​)​﻿

﻿(1+5 )4\frac{\left(1+\sqrt{5\ }\right)}{4}4(1+5 ​)​﻿

﻿((10−25))4n\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}n4((10−25​​))​n﻿

Use multiple-angle formula to evaluate sin 180

2

﻿(−1+5 )4\frac{\left(-1+\sqrt{5\ }\right)}{4}4(−1+5 ​)​﻿

3

Use multiple-angle formula to evaluate tan 540

﻿(1+5)10−25\frac{\left(1+\sqrt{5}\right)}{\sqrt{10-2\sqrt{5}}}10−25​​(1+5​)​﻿

﻿(−1+5)4\frac{\left(-1+\sqrt{5}\right)}{4}4(−1+5​)​﻿

﻿((10+25))4\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}4((10+25​​))​﻿

Use multiple-angle formula to evaluate cos 180

2

﻿(−1+5 )4\frac{\left(-1+\sqrt{5\ }\right)}{4}4(−1+5 ​)​﻿

﻿(10+25 )4\frac{\left(10+2\sqrt{5\ }\right)}{4}4(10+25 ​)​﻿

Use multiple-angle formula to evaluate cos 540

2

﻿(−1+5)4\frac{\left(-1+\sqrt{5}\right)}{4}4(−1+5​)​﻿

﻿((10−25))4\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}4((10−25​​))​﻿

Use multiple-angle formula to evaluate cos 360

﻿(−1+5 )10+25\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}10+25​​(−1+5 ​)​﻿

﻿(1+5 )4\frac{\left(1+\sqrt{5\ }\right)}{4}4(1+5 ​)​﻿

﻿((10−25))4\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}4((10−25​​))​﻿

Incorrect

Great!

Use multiple-angle formula to evaluate sin 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate tan 18⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate sin 72⁰

$\frac{\left(1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate sin 54⁰

$\frac{\left(1+\sqrt{5}\right)}{4}$

Use multiple-angle formula to evaluate tan 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10-2\sqrt{5}}}$

$\frac{\left(1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}n$

Use multiple-angle formula to evaluate sin 18⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

Use multiple-angle formula to evaluate tan 54⁰

$\frac{\left(1+\sqrt{5}\right)}{\sqrt{10-2\sqrt{5}}}$

$\frac{\left(-1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10+2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate cos 18⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{4}$

$\frac{\left(10+2\sqrt{5\ }\right)}{4}$

Use multiple-angle formula to evaluate cos 54⁰

$\frac{\left(-1+\sqrt{5}\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$

Use multiple-angle formula to evaluate cos 36⁰

$\frac{\left(-1+\sqrt{5\ }\right)}{\sqrt{10+2\sqrt{5}}}$

$\frac{\left(1+\sqrt{5\ }\right)}{4}$

$\frac{\left(\left(\sqrt{10-2\sqrt[]{5}}\right)\right)}{4}$