What is the general solution for cos^2(a)= 3/(5sin(a)) ?

The general solution for cos^2(a)= 3/(5sin(a)) is No Solution for a\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos^2(a)= 3/(5sin(a))

cos^{2} (a) = \frac{3}{5 sin ( a )}

No Solution for a \in R

Solution steps

cos^{2} (a) = \frac{3}{5 sin ( a )}

Subtract

\frac{3}{5 sin ( a )}

from both sides

cos^{2} (a) - \frac{3}{5 sin ( a )} = 0

Simplify

cos^{2} (a) - \frac{3}{5 sin ( a )} : \frac{5 cos ^{2} ( a ) sin ( a ) - 3}{5 sin ( a )}

\frac{5 cos ^{2} ( a ) sin ( a ) - 3}{5 sin ( a )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

5 cos^{2} (a) sin (a) - 3 = 0

Rewrite using trig identities

- 3 + (1 - sin^{2} (a)) \cdot 5 sin (a) = 0

Solve by substitution

sin (a) \approx - 1.22119 \dots

sin (a) = - 1.22119 \dots :

No Solution

Combine all the solutions

No Solution for a \in R

3 cos (x) = 2 sec (x) - 5

sin (\frac{a}{2}) = (\frac{1}{2}) sin (a)

cos (\frac{x}{2}) = cos (x) + 1

d = \frac{sin ^{4} ( x ) - cos ^{2} ( x ) + 5}{4 \cdot cos ^{2} ( x )}

2 + cos^{2} (x) = 5 sin (x)

What is the general solution for cos^2(a)= 3/(5sin(a)) ?
The general solution for cos^2(a)= 3/(5sin(a)) is No Solution for a\in\mathbb{R}