The Other Five Trigonometric Functions Given One Youtube In six trigonometric ratios sin, cos, tan, csc, sec and cot, if the value of one of the ratios is given, we can find the values of the other five functions. the following steps will be useful in the above process. step 1 : the given given trigonometric ratio has to compared with one of the formulas given below. sin θ = opposite side hypotenuse. Example 5.4.2 find trigonometric functions given one trig ratio and the quadrant the angle is in. given sec(θ) = 2√6 3 with θ in quadrant iv. find the value of sinθ and cotθ. solution. step 1. angle θ is in qiv where x> 0 and y <0. step 2. sec(θ) = 2√6 3 = r x, therefore we can choose r = 2√6 and x = 3.
Finding The Values Of The Other Five Trig Functions When Given One The trigonometric functions are periodic. for the four trigonometric functions, sine, cosine, cosecant and secant, a revolution of one circle, or 2π, will result in the same outputs for these functions. and for tangent and cotangent, only a half a revolution will result in the same outputs. The other trigonometric functions find exact values of the trigonometric functions secant, cosecant, tangent, and cotangent to define the remaining functions, we will once again draw a unit circle with a point [latex]\left(x,y\right)[ latex] corresponding to an angle of [latex]t[ latex], as shown in figure 1. Trigonometry. find the other trig values in quadrant i csc (theta)=5. csc(θ) = 5 csc (θ) = 5. use the definition of cosecant to find the known sides of the unit circle right triangle. the quadrant determines the sign on each of the values. csc(θ) = hypotenuse opposite csc (θ) = hypotenuse opposite. find the adjacent side of the unit circle. In this video i give you the quadrant our terminal ray lies in and one of the trig functions. our job is to find the rest of the trig functions. a simple 3.
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