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If sin (theta) = - 47, and theta is in quadrant IV, then find cos(th.pdf

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If sin (theta) = - 4/7, and theta is in quadrant IV, then find cos(theta) = tan(theta) = sec(theta) = csc(theta) = cot(theta) = Solution Given that: sin () = -4/7 and is in 4th Quadrant sin() = -4/7 As we know that Sin²() + Cos²() = 1 Put Sin()= -4/7 Cos²()= 1-(4/7)² Cos()= (33/49) = (33)/7 ( Cos() would be positive in 4th Qudrant ) Part (a) Cos() = (33)/7 Part (b) tan() = sin()/cos() = -4/(33) Part (c) sec() = 1/ Cos() = 7/(33) Part (d) csc() = 1/sin() = -7/4 Part (e) Cot() = cos()/sin() = - (33)/4.

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If sin (theta) = - 4/7, and theta is in quadrant IV, then find cos(theta) = tan(theta) = sec(theta) = csc(theta) = cot(theta) = Solution Given that: sin () = -4/7 and is in 4th Quadrant sin() = -4/7 As we know that Sin²() + Cos²() = 1 Put Sin()= -4/7 Cos²()= 1-(4/7)² Cos()= (33/49) = (33)/7 ( Cos() would be positive in 4th Qudrant ) Part (a) Cos() = (33)/7 Part (b) tan() = sin()/cos() = -4/(33) Part (c) sec() = 1/ Cos() = 7/(33) Part (d) csc() = 1/sin() = -7/4 Part (e) Cot() = cos()/sin() = - (33)/4

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  • 1. If sin (theta) = - 4/7, and theta is in quadrant IV, then find cos(theta) = tan(theta) = sec(theta) = csc(theta) = cot(theta) = Solution Given that: sin () = -4/7 and is in 4th Quadrant sin() = -4/7 As we know that Sin²() + Cos²() = 1 Put Sin()= -4/7 Cos²()= 1-(4/7)² Cos()= (33/49) = (33)/7 ( Cos() would be positive in 4th Qudrant ) Part (a) Cos() = (33)/7 Part (b) tan() = sin()/cos() = -4/(33) Part (c) sec() = 1/ Cos() = 7/(33) Part (d) csc() = 1/sin() = -7/4 Part (e) Cot() = cos()/sin() = - (33)/4