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3 years ago

Help before 10:05 Please

Mathematics

2 answers:

viktelen [127]3 years ago

4 0

1. 3 2/5
2. 8 1/2
3. 2 13/20
4. 2 2/5
5. 3 9/10
6. 8 4/5
7. 3 23/25
8. 6 69/100
9. 6 7/50
10. 9 1/10
11. 10 11/100
12. 7 1/5
13. 10 23/100
14. 5 1/5
There you go! Cheers!

julsineya [31]3 years ago

3 0

1: 3 and 2/5
2: 8 and 1/2
3: 2 and 13/20
4: 2 and 4/5
5: 3 and 9/10
6: 8 and 4/5
7: 3 and 92/100
3 and 46/50
8: 6 and 69/100
9: 6 and 7:50
10: 9 and 1/10
11: 10 and 11/100
12: 7 and 1/5
13: 10 and 23/100
14: 5 and 1/5

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Find the exact value by using a half angle identity.tan 75°

kramer

The trigonometric function is given as

$\tan 75^{\circ}$

Apply the half angle identity to find the value of tan 75 ,

$\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}$

Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

Again simplify the trigonometric function,

$\tan 75^{\circ}=2+1.732=3.732$

Hence the answer is 3.732.

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yarga [219]

Answer:

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Can also be simplified to 9/160

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Step-by-step explanation:

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