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Given that tan(theta) + sec(theta) = 1.5, determine the value of sin(theta).

1. 5/13
2. 12/13
3. 3/5
4. 4/5

Correct answer: 5/13

Solution

Combining sec+tan = 1.5 with sec-tan = 1/1.5 gives both sec and tan, hence sin.

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