sqrt 5 2 sin x 6sin x 1

sqrt 5 2 sin x 6sin x 1 Solve the following inequality sqrt 5 2 sin x geq 6 sin x 1 My tries As 5 2 sin x 0 hence we do not need to worry about the domain Case 1 6 sin x 1 leq0 implies sin x leq dfrac 1 6 implies 1 leq sin x leq dfrac 1 6 tag Case 2 6 sin x 1 0 implies dfrac 1 6

Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles In particular the trigonometric functions relate the angles of a right triangle with ratios of its side lengths The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical Solve the following inequality 5 2 sin x 6 sin x 1 Solution Verified by Toppr Let 6sinx 1 0 sinx 1 6 x 2n sin 1 1 6 2n 1 sin 1 1 6 For this condition 5 2sinx 6sinx 1 2 5 2sinx 36sin2x 12sinx 1 36sin2x 10sinx 4 0 Let sinx t 36t2 10t 4 0 36t2 18t 8t 4 0 18t 2t 1 4 2t 1 0

sqrt 5 2 sin x 6sin x 1

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sqrt 5 2 sin x 6sin x 1
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The three basic trigonometric functions are Sine sin Cosine cos and Tangent tan What is trigonometry used for Trigonometry is used in a variety of fields and applications including geometry calculus engineering and physics to solve problems involving angles distances and ratios Step 1 10 Step 1 First we need to ensure that the square root is defined This means that 5 2 sin x must be greater than or equal to zero This is always valid Step 2 10 Step 2 Next we need to ensure that the right hand side of the equation is positive This means that sin x must be greater than or equal to frac 1 6 Step 3 10

Free math problem solver answers your trigonometry homework questions with step by step explanations Get detailed solutions to your math problems with our Trigonometric Identities step by step calculator Practice your math skills and learn step by step with our math solver Check out all of our online calculators here sec x 2 csc x 2 1 sin x 2 cos x 2 Go Symbolic mode Text mode 2 e

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sqrt 5 2 sin x 6sin x 1 - Ask Question Asked 1 year 4 months ago Modified 1 year 4 months ago Viewed 83 times 0 Solve the equation 5cos x 2 2sin x 2 1 2 If not because of the half angle I can convert to r sinx I tried brute force solving it by using half angle formula equation gets haywire Appreciate your help trigonometry Share Cite