Webat 180 degres, or pi radians we are at the x axis again, but on the negative side. again, y is 0 but x is negative rather than an angle of 0. third quadrant is the quadrant on the negative x axis side and negative y axis side, so both x and y are negative here. 270 degrees/ 3pi/2 radians is the negative y axis, so x is 0 and y is negative. WebJul 7, 2024 · Tan 180 degrees is the value of tangent trigonometric function for an angle equal to 180 degrees. The value of tan 180° is 0. Where is tan less than 0? Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) 0 and tan(θ) 0 (Cosine positive). The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic.
Given cos theta=4/9 and csc theta 0 find sin theta and tan theta
WebFeb 25, 2024 · Explanation: Let us consider the identity csc2θ = 1 +cot2θ as cscθ = 4, we have 16 = 1 +cot2θ and cot2θ = 15 and as cotθ < 0, cotθ = − √15 Therefore tanθ = − 1 √15 and sinθ = 1 4 As #tantheta=sintheta/costheta, this means cosθ = sinθ tanθ = 1 4 − 1 √15 = − √15 4 and secθ = − 4 √15 Answer link WebQuestion 187426: #1) If tan of theta = (6/5) and cos of theta 0, use the fundamental identities to evaluate the other five trigonometric functions of theta. #2) use the fundamental identities to simplify csc squared if beta (1-cos squared of beta) #3) factor and simplify. (sec "to the power of 4" x- tan "to the power of 4" x/ sec "squared" x + tan "squared" x) fix the phone
State the quadrant in which θ lies. 1.) CSC θ is greater than 0 and …
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