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Popular >

(a^{0.2})/((cos^2(x))-cos^2(x)-1)=0

Solution

\frac{a ^{0.2}}{( cos ^{2} ( x ) ) - cos ^{2} ( x ) - 1} = 0

Solution

No Solution for x \in R

Solution steps

\frac{a ^{0.2}}{( cos ^{2} ( x ) ) - cos ^{2} ( x ) - 1} = 0

Solve by substitution

True for all cos (x); - a^{0.2} = 0

cos (x) =

True for all

u : x = arccos (True for all u) + 2 πn, x = - arccos (True for all u) + 2 πn

Combine all the solutions

x = arccos (True for all u) + 2 πn, x = - arccos (True for all u) + 2 πn

Since the equation is undefined for:

arccos (True for all u) + 2 πn, - arccos (True for all u) + 2 πn

No Solution for x \in R

Popular Examples

((2cos(x))/(2-1))((sin(x))/(2+2))=0

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4cos^2(x)+17sin(x)=8

4 cos^{2} (x) + 17 sin (x) = 8

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cos^{4} (x) = 1 - 8 sin^{2} (x) cos^{2} (x)

tan (x) = \frac{10}{18}

((1+cot^2(x)))/(cos^2(x))=cot^2(x)

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

Frequently Asked Questions (FAQ)

What is the general solution for (a^{0.2})/((cos^2(x))-cos^2(x)-1)=0 ?
The general solution for (a^{0.2})/((cos^2(x))-cos^2(x)-1)=0 is No Solution for x\in\mathbb{R}