find the value of sin 2theta 1 1 tan 2theta

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find the value of sin 2theta 1 1 tan 2theta To solve a trigonometric simplify the equation using trigonometric identities Then write the equation in a standard form and isolate the variable using algebraic manipulation to

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find the value of sin 2theta 1 1 tan 2theta

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Let s begin with cos 2 theta 1 2 sin 2 theta Solve for sin 2 theta begin align cos 2 theta 1 2 sin 2 theta 4pt 2 sin 2 theta 1 cos 2 theta 4pt sin 2 theta dfrac 1 cos 2 theta 2 Enter any angle in degrees or radians into the calculator to determine the sin 2 theta value

In the first method we used the identity sec 2 tan 2 1 sec 2 tan 2 1 and continued to simplify In the second method we split the fraction putting both Sin 2 means to find the sine of then square the result but sin 2 means to square then do the sine function

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First we know that theta is in the second quadrant making sine positive and cosine negative For this problem we will use the Pythagorean Identity The three basic trigonometric functions are Sine sin Cosine cos and Tangent tan

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find the value of sin 2theta 1 1 tan 2theta - Enter any angle in degrees or radians into the calculator to determine the sin 2 theta value