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Move everything to the left hand side of the equation
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$5-8\cos\left(x\right)-3-5\sin\left(x\right)^2=0$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 5-8cos(x)=3+5sin(x)^2. Move everything to the left hand side of the equation. Subtract the values 5 and -3. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term -5 by each term of the polynomial \left(1-\cos\left(x\right)^2\right).