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Exercise

$sin^2\left(x\right)=6sin\left(x\right)+7$

Step-by-step Solution

Learn how to solve problems step by step online. Solve the trigonometric equation sin(x)^2=6sin(x)+7. Move everything to the left hand side of the equation. We can try to factor the expression \sin\left(x\right)^2-6\sin\left(x\right)-7 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial u^2-6u-7 finding two numbers that multiply to form -7 and added form -6.
Solve the trigonometric equation sin(x)^2=6sin(x)+7

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