SinTheta Formula. As per the sin theta formula, sin of an angle θ, in a right-angled triangle is equal to the ratio of opposite side and hypotenuse. The sine function is one of the important trigonometric functions apart from cos and tan. Here we will discuss finding sine of any angle, provided the length of the sides of the right triangle.
Simplifythe numerator. Tap for more steps (1+ sin(x))(1−sin(x)) 1−sin(x) ( 1 + sin ( x)) ( 1 - sin ( x)) 1 - sin ( x) Cancel the common factor of 1−sin(x) 1 - sin ( x). Tap for more steps Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations
Solveover the Interval sin(2x)=sin(x) , (0,2pi), Step 1. Subtract from both sides of the equation. Step 2. Apply the sine double-angle identity. Divide each term in by and simplify. Tap for more steps Step . Divide each term in by . The cosine function is positive in the first and fourth quadrants.