What is the general solution for sin(x)*cos^2(x)=1 ?

The general solution for sin(x)*cos^2(x)=1 is No Solution for x\in\mathbb{R}

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sin(x)*cos^2(x)=1

sin (x) \cdot cos^{2} (x) = 1

No Solution for x \in R

Solution steps

sin (x) cos^{2} (x) = 1

Subtract

1

from both sides

cos^{2} (x) sin (x) - 1 = 0

Rewrite using trig identities

- 1 + (1 - sin^{2} (x)) sin (x) = 0

Solve by substitution

sin (x) \approx - 1.32471 \dots

sin (x) = - 1.32471 \dots :

No Solution

Combine all the solutions

No Solution for x \in R

t, f w = 2 + cos (10 π t)

tan (θ) - sec (θ) = 3

2 csc (x) cot (x) = \frac{4}{3}

cos (t) = \frac{24}{25}

sec^{2} (t) + 2 sec (t) = 0

What is the general solution for sin(x)*cos^2(x)=1 ?
The general solution for sin(x)*cos^2(x)=1 is No Solution for x\in\mathbb{R}