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1991 AHSME Problems
\textbf{(C) } \tan^2\theta\qquad

16 KB (2,451 words) - 04:27, 6 September 2021
2003 AMC 12B Problems/Problem 10
real r = 5/dir(54).x, h = 5 tan(54*pi/180);

1 KB (237 words) - 23:06, 3 February 2020
Hyperbolic trig functions
<math>\tanh(x)= -1\tan{iz}</math>

423 bytes (78 words) - 23:33, 22 May 2013
2013 USAJMO Problems/Problem 5
<cmath>\frac{XC}{CY}=\tan {\angle CYZ}=\tan (90-\alpha)</cmath> <cmath>\frac{CQ}{CY}=\tan {\angle CYQ}=\tan (\alpha+\beta).</cmath>

7 KB (1,250 words) - 18:05, 1 October 2021
2014 AIME II Problems/Problem 12
<math>\tan{\frac{3A}{2}}\tan{\frac{3B}{2}}=1</math> Note that <math>\tan{x}=\frac{1}{\tan(90-x)}</math>, or <math>\tan{x}\tan(90-x)=1</math>

5 KB (875 words) - 17:56, 2 October 2023
2013 IMO Problems/Problem 4
...an{\angle{C}}-1)m}{i\tan{\angle{C}}}.</cmath> We wish to simplify <math>(i\tan{\angle{C}}-1)m</math> first. Note that <cmath>m=\frac{|CM|}{|CA|}\cdot(a)=\ (i\tan{\angle{C}}-1)m&=(i\tan{\angle{C}}-1)((|BC|)\cos{\angle{C}}(\cos{\angle{C}}+i\sin{\angle{C}}))\\

11 KB (1,991 words) - 01:31, 19 November 2023
User talk:Bobthesmartypants/Sandbox
label("$\frac{1}{\tan\varphi}$",(sqrt(3)/2,0),dir(-90));

17 KB (2,269 words) - 21:25, 6 November 2014
User talk:Dwnadoa
Bifu Tan Yan, now Hublot sales inside Chinese market, a compact proportion, comprisi

2 KB (352 words) - 01:52, 20 December 2013
2014 AMC 10A Problems/Problem 22
...ow EC=20-10 \sqrt 3</math>. (It is important to memorize the sin, cos, and tan values of <math>15^\circ</math> and <math>75^\circ</math>.) Therefore, we h

13 KB (1,983 words) - 12:39, 7 June 2024
2014 AMC 12A Problems/Problem 25
...an angle <math>\theta</math> relative to the coordinate axis, where <math>\tan\theta = \tfrac 34</math>. We rotate the coordinate axis by angle <math>\the

4 KB (661 words) - 16:18, 2 September 2022
2014 AMC 12B Problems/Problem 19
...tan {\theta})^4 - 3(\tan {\theta})^2 + 1 = 0.</math> This gives us <math>(\tan {\theta})^2 = \dfrac{3+\sqrt{5}}{2}\longrightarrow \boxed{E}</math>

4 KB (703 words) - 18:38, 15 June 2024
2014 AIME I Problems
...\left(\tfrac{w-z}{z}\right) </math>. The maximum possible value of <math>\tan^2 \theta</math> can be written as <math>\tfrac{p}{q}</math>, where <math>p<

9 KB (1,472 words) - 13:59, 30 November 2021
2014 AIME I Problems/Problem 7
...\left(\tfrac{w-z}{z}\right) </math>. The maximum possible value of <math>\tan^2 \theta</math> can be written as <math>\tfrac{p}{q}</math>, where <math>p< We know that <math>\tan{\theta}</math> is equal to the imaginary part of the above expression divid

5 KB (782 words) - 20:25, 10 October 2023
1973 AHSME Problems
...nd <math> \sin \frac12 \theta = \sqrt{\frac{x-1}{2x}}</math>, then <math> \tan \theta</math> equals

18 KB (2,788 words) - 13:55, 20 February 2020
1980 AHSME Problems/Problem 12
..._2)}{1-\tan^2(\theta_2)} = 4\tan(\theta_2)</math>. Solving, we have <math>\tan(\theta_2) = 0, \dfrac{\sqrt{2}}{2}</math>. But line <math>L_1</math> is not

2 KB (237 words) - 18:02, 20 March 2018
1987 AHSME Problems
...c})+\log_{10}(\tan 3^{\circ})+\cdots+\log_{10}(\tan 88^{\circ})+\log_{10}(\tan 89^{\circ}). </math>

16 KB (2,291 words) - 13:45, 19 February 2020
1986 AHSME Problems
<math>\textbf{(A)}\ \tan \theta = \theta\qquad \textbf{(B)}\ \tan \theta = 2\theta\qquad

17 KB (2,512 words) - 18:30, 12 October 2023
1983 AHSME Problems
...angle at <math>C</math>. If <math>\sin A = \frac{2}{3}</math>, then <math>\tan B</math> is If <math>\tan{\alpha}</math> and <math>\tan{\beta}</math> are the roots of <math>x^2 - px + q = 0</math>, and <math>\co

15 KB (2,309 words) - 23:43, 2 December 2021
1978 AHSME Problems
If <math>\sin x+\cos x=1/5</math> and <math>0\le x<\pi</math>, then <math>\tan x</math> is

15 KB (2,432 words) - 01:06, 22 February 2024
1972 AHSME Problems
If <math>\tan x=\dfrac{2ab}{a^2-b^2}</math> where <math>a>b>0</math> and <math>0^\circ <x real x = 6-h*tan(t);

17 KB (2,725 words) - 00:21, 26 May 2024

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