What is the general solution for 18sec^2(x)-3tan(x)=21 ?

The general solution for 18sec^2(x)-3tan(x)=21 is x=0.46364…+pin,x=-0.32175…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18sec^2(x)-3tan(x)=21

18 sec^{2} (x) - 3 tan (x) = 21

x = 0.46364 \dots + πn, x = - 0.32175 \dots + πn

Solution steps

18 sec^{2} (x) - 3 tan (x) = 21

Subtract

21

from both sides

18 sec^{2} (x) - 3 tan (x) - 21 = 0

Rewrite using trig identities

- 3 + 18 tan^{2} (x) - 3 tan (x) = 0

Solve by substitution

tan (x) = \frac{1}{2}, tan (x) = - \frac{1}{3}

tan (x) = \frac{1}{2} : x = arctan (\frac{1}{2}) + πn

tan (x) = - \frac{1}{3} : x = arctan (- \frac{1}{3}) + πn

Combine all the solutions

x = arctan (\frac{1}{2}) + πn, x = arctan (- \frac{1}{3}) + πn

Show solutions in decimal form

x = 0.46364 \dots + πn, x = - 0.32175 \dots + πn

sin^{2} (θ) - 2 cos (θ) = 2

3 + 4 sin (θ) = 0

tan (2 A) = \frac{( 2 tan ( A ) )}{[ 1 + ( tan ( A ) ) ^{2} ]}

cos (4 x) + 1 = 3 sin (2 x)

tan (2 t + 15) = cot (6 t - 5)

What is the general solution for 18sec^2(x)-3tan(x)=21 ?
The general solution for 18sec^2(x)-3tan(x)=21 is x=0.46364…+pin,x=-0.32175…+pin