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Popular >

-1+sin^2(a)+cos^2(a)=cos^2(a)

Solution

- 1 + sin^{2} (a) + cos^{2} (a) = cos^{2} (a)

Solution

a = \frac{π}{2} + 2 πn, a = \frac{3 π}{2} + 2 πn

+1

Solution steps

- 1 + sin^{2} (a) + cos^{2} (a) = cos^{2} (a)

Rewrite using trig identities

- 1 + 1 = cos^{2} (a)

Switch sides

cos^{2} (a) = - 1 + 1

Add/Subtract the numbers:

- 1 + 1 = 0

cos^{2} (a) = 0

Apply rule

x^{n} = 0 \Rightarrow x = 0

cos (a) = 0

General solutions for

cos (a) = 0

a = \frac{π}{2} + 2 πn, a = \frac{3 π}{2} + 2 πn

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sin(θ)=(sqrt(3))/2 ,0<= θ<= 4pi

sin (θ) = \frac{3}{2}, 0 \leq θ \leq 4 π

sin(2x)=(sqrt(3))/2 ,0<= x<= 360

sin (2 x) = \frac{3}{2}, 0^{\circ} \leq x \leq 36 0^{\circ}

3sin^2(x)+8cos^2(x)=6

3 sin^{2} (x) + 8 cos^{2} (x) = 6

tan (θ) = \frac{2}{8}

Frequently Asked Questions (FAQ)

What is the general solution for -1+sin^2(a)+cos^2(a)=cos^2(a) ?
The general solution for -1+sin^2(a)+cos^2(a)=cos^2(a) is a= pi/2+2pin,a=(3pi)/2+2pin