What is the general solution for 9^{sin(x)-1}+3=3^{sin(x)}+3^{sin(x)-1} ?

The general solution for 9^{sin(x)-1}+3=3^{sin(x)}+3^{sin(x)-1} is x= pi/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9^{sin(x)-1}+3=3^{sin(x)}+3^{sin(x)-1}

9^{s i n (x) - 1} + 3 = 3^{s i n (x)} + 3^{s i n (x) - 1}

x = \frac{π}{2} + 2 πn

Solution steps

9^{s i n (x) - 1} + 3 = 3^{s i n (x)} + 3^{s i n (x) - 1}

Solve by substitution

sin (x) = 2, sin (x) = 1

sin (x) = 2 :

No Solution

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn

3 + 3 sin (θ) = 9 sin (θ)

cos (2 x) = 1 - sin (2 x)

5 sin (3 x) = - 2

cos^{2} (x) - 1 = 0, 0 \leq x < 2 π

tan^{2} (x) + 1 = 2 \cdot tan (x)

What is the general solution for 9^{sin(x)-1}+3=3^{sin(x)}+3^{sin(x)-1} ?
The general solution for 9^{sin(x)-1}+3=3^{sin(x)}+3^{sin(x)-1} is x= pi/2+2pin