{"id":155638,"date":"2022-03-26T00:52:07","date_gmt":"2022-03-25T19:22:07","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/trigonometric-equations-2\/"},"modified":"2023-06-16T18:14:07","modified_gmt":"2023-06-16T12:44:07","slug":"trigonometric-equations-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-equations\/","title":{"rendered":"Trigonometric Equations"},"content":{"rendered":"

General Solutions of Trigonometric Equations<\/span><\/strong><\/p>\n

There are a few methods that can be used to solve trigonometric equations. One method is to use inverse trigonometric functions. Another method is to use the quadratic formula.<\/p>\n

To solve a trigonometric equation using inverse trigonometric functions, first rewrite the equation in terms of inverse functions. For example, if the equation is sin(x) = 1, rewrite it as sin(x) = inverse_cos(x).<\/p>\n

Next, use inverse functions to solve for x. In the example equation, this would mean solving for x in terms of inverse cosine. The solution would be x = arcsin(1\/cos(x)).<\/p>\n

To solve a trigonometric equation using the quadratic formula, first rewrite the equation in terms of square roots. For example, if the equation is sin(x) = 1, rewrite it as sin(x) = sqrt(1).<\/p>\n

Next, use the quadratic formula to solve for x. In the example equation, this would mean solving for x in terms of square roots. The solution would be x = (-1 \u00b1 sqrt(1 – 4))\/2.<\/p>\n

\"Trigonometric<\/p>\n

Proofs for Solutions of Trigonometric Equations<\/h2>\n

There are a few different methods that can be used to solve trigonometric equations. One method is to use the quadratic equation. Another is to use trigonometric identities.<\/p>\n

The quadratic equation can be used to solve trigonometric equations when they can be reduced to the form:<\/p>\n

\\[a\\cos ^2x+b\\sin ^2x=c\\]\n

This equation can be solved by using the Quadratic Formula.<\/p>\n

Another method for solving trigonometric equations is to use trigonometric identities. Some of the more common identities that can be used are:<\/p>\n

\\[sin ^2x+cos ^2x=1\\]\n

\\[sin x=cos ^2x\\]\n

\\[cos x=sin ^2x\\]\n

These identities can be used to solve trigonometric equations by canceling out the squares on the left-hand side of the equation.<\/p>\n

Also Read | <\/span>Subject Wise Formulas List<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

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