SOLUTION: If sin θ = 8/17, find two possible values of (tan θ + sec θ).
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Question 1118984: If sin θ = 8/17, find two possible values of (tan θ + sec θ).
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
The drawing below shows the situation for Q1 (ignore the labeling on the x and y axes… the triangles are not to scale).
The other angle is in Q2 (where ) so the sine value is still 8/17 (i.e. positive) but the tan & sec values are both negative, resulting in To visualize, flip the triangle across the y-axis where x<0, and notice is still measured counter-clockwise from the positive x-axis but now ends in Q2:
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