What is the general solution for 10sin(a)+7sin(a)+1sin(a)+8sin(a)=48 ?

The general solution for 10sin(a)+7sin(a)+1sin(a)+8sin(a)=48 is No Solution for a\in\mathbb{R}

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10sin(a)+7sin(a)+1sin(a)+8sin(a)=48

10 sin (a) + 7 sin (a) + 1 sin (a) + 8 sin (a) = 48

No Solution for a \in R

Solution steps

10 sin (a) + 7 sin (a) + 1 \cdot sin (a) + 8 sin (a) = 48

Simplify

10 sin (a) + 7 sin (a) + 1 \cdot sin (a) + 8 sin (a) : 26 sin (a)

10 sin (a) + 7 sin (a) + 1 \cdot sin (a) + 8 sin (a)

Add similar elements:

10 sin (a) + 7 sin (a) + 1 \cdot sin (a) + 8 sin (a) = 26 sin (a)

= 26 sin (a)

26 sin (a) = 48

Divide both sides by

26

26 sin (a) = 48

Divide both sides by

26

\frac{26 sin ( a )}{26} = \frac{48}{26}

Simplify

sin (a) = \frac{24}{13}

sin (a) = \frac{24}{13}

- 1 \leq sin (x) \leq 1

No Solution for a \in R

2 cos^{2} (θ) + 7 sin (θ) = 5

\frac{2 3}{3} = sec (θ)

4 (sin (x))^{2} - 15 sin (x) - 4 = 0

1 + sin (θ) = 1 + sin (- θ)

cos (2 x) = 2 + 3 sin (x), \frac{π}{2} \leq x \leq \frac{3 π}{2}

What is the general solution for 10sin(a)+7sin(a)+1sin(a)+8sin(a)=48 ?
The general solution for 10sin(a)+7sin(a)+1sin(a)+8sin(a)=48 is No Solution for a\in\mathbb{R}