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Popular >

sqrt(7)*sin^2(x)+cos^2(x)-1=6sin(x)

Solution

7 \cdot sin^{2} (x) + cos^{2} (x) - 1 = 6 sin (x)

Solution

x = 2 πn, x = π + 2 πn

+1

Solution steps

7 sin^{2} (x) + cos^{2} (x) - 1 = 6 sin (x)

Subtract

6 sin (x)

from both sides

7 sin^{2} (x) + cos^{2} (x) - 1 - 6 sin (x) = 0

Rewrite using trig identities

- sin^{2} (x) - 6 sin (x) + sin^{2} (x) 7 = 0

Solve by substitution

sin (x) = 1 + 7, sin (x) = 0

sin (x) = 1 + 7 :

No Solution

sin (x) = 0 : x = 2 πn, x = π + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn

Popular Examples

4sec^2(x)-3tan^2(x)=5tan^2(x)

4 sec^{2} (x) - 3 tan^{2} (x) = 5 tan^{2} (x)

cos^{3} (x) = 66

2sqrt(3)*sin(4x+60^0)-3=0

23 \cdot sin (4 x + 6 0^{0}) - 3 = 0

(sin(x)+sin^2(x))/2 =0.5

\frac{sin ( x ) + sin ^{2} ( x )}{2} = 0.5

cos (b) = \frac{3}{5}

Frequently Asked Questions (FAQ)

What is the general solution for sqrt(7)*sin^2(x)+cos^2(x)-1=6sin(x) ?
The general solution for sqrt(7)*sin^2(x)+cos^2(x)-1=6sin(x) is x=2pin,x=pi+2pin