Suppose (theta sign) is an angle in standard position whose terminal side lies in the given quadrant. for these functions, find the exact values of the remaining five trigonometric funtctions of (theta)

sin(theta)=-4/5; quadrant 4

tan(theta)=2; quadrant 1

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_______________

A) 



•  Finding

Square both sides of





But is also negative, because lies in the 4th quadrant. So,



•  Finding



•  Finding



•  Finding



•  Finding



________

B) 



•  Finding

Square both sides of





But sine is positive because is a 1st quadrant angle:



•  Finding



•  Finding



•  Finding



•  Finding



I hope this helps. =)

Tags:  trigonometric trig function sine cosine tangent cotangent secant cosecant sin cos tan cot sec csc trigonometry

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