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Answer:
sinθ = -5/√61
secθ = √61/6
tanθ = -5/6
Step-by-step explanation:
From the given coordinate (6, -5), x = 6 and y = -5. This shows that the point lies in the 4th quadrant. In the fourth quadrant, only cos θ is positive, both sin θ and tan θ are negative.
Let us get the value of the radius 'r' first before calculating the trigonometry identities.
Using the Pythagoras theorem;
Using SOH, CAH, TOA to get the trigonometry identities;
Given x = 6, y =5 and r = √61
Since sin θ, is negative in the fourth quadrant,
For tanθ:
Since tan θ, is negative in the fourth quadrant,