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- Name the quadrant of θ.\tan\theta > 0 and \csc\theta < 0\sin\theta > 0 and \sec\theta < 0\csc\theta > 0 and \sec\theta > 0\csc\theta < 0 and \cos\theta > 0\sec\theta < 0 and \tan\theta < 0
- Decide whether each value is positive or negative, without a calculator.\cos 172^\circ\tan 218^\circ\csc(-200^\circ)\cot\dfrac{7\pi}{5}\sec\dfrac{5\pi}{9}
- An angle θ has θ = 6111.
- Decide the sign of each expression without a calculator.
- For θ in a quadrant (not on an axis), find the quadrants in which each statement is true.
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Signs of the trig functions by quadrant: the lesson ›More Chapter 3 worksheets: Angles, radians and the unit circle
- 3.1Sine, cosine and tangent
- 3.2Trig values of the special right triangles
- 3.3Angles in standard position and coterminal angles
- 3.4Radian measure
- 3.5Arc length and sector area in radians
- 3.6Angular and linear speed
- 3.7Trig functions on the unit circle
- 3.8Sine, cosine and tangent as functions of a real number
- 3.9Reference angles
- 3.10Signs of the trig functions by quadrant
- 3.11Secant, cosecant and cotangent ratios
- 3.12Secant, cosecant and cotangent on the unit circle
- 3.13Exact values on the unit circle
- 3.14Unit circle symmetry and even-odd identities
- 3.15Periodicity and the periodicity identities