radomes.openskiesproject.org
ta1ngkastewally
ta1ngkastewally ta1ngkastewally
  • 05-09-2016
  • Mathematics
Answered

Solve 2 sec^2 x + tan^2 x - 3=0.

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 05-09-2016

2 sec^2 x + tan^2 x - 3 = 0
2(1 + tan^2 x) + tan^2 x - 3 = 0              [sec^2 x = 1 + tan^2 x]
2 + 2tan^2 x + tan^2 x - 3 = 0
3tan^2 x = 1
tan^2 x = 1/3

\(\tan x = \pm \sqrt{\frac{1}{3}} =\frac{1}{\sqrt{3}} \\ x=\tan^{-1}\frac{1}{\sqrt{3}}= \frac{\pi}{6} \\ =n \pi-\frac{5\pi}{6},\ \ n\pi-\frac{\pi}{6}\)

Answer Link

Related Questions

A student drops a ball from a window 35 m above the sidewalk How fast is the ball moving when it hits the ground
Mike has 1568 pounds of aluminum cans to take to the recycling center He wants to take at least 50 pounds How many more pounds does he need to collect
Whose techniques did King usually follow a Mohandas K Gandhi b Malcolm X c Martin Luther King Sr d Abraham Lincoln
25386 round The Number To The Nearest thousand
identify describe and extend each pattern 39 40 36 37 33 34 show your work
quan plans to spend less than 80 for buying groceries he plans to spend 6825 on food and spend the rest on juice each juice carton cost 3 he is curious how many
How many cookies could you make with four cups of flour
What physical feature is found in the northeast part of the continent
Why did jenne architecture change by the ninth century
what is one similarity between male and female reproductive system of male flowers and humans and female flowers and humans