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# What is the exact value of (sin^2 (7π/6))+(sec(π/3))?

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- az_lenderLv 73 years agoFavorite Answer
The sine of 7*pi/6 is -1/2,

whose square is +1/4,

and the secant of pi/3 is +2,

so the sum is 9/4.

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- Randy PLv 73 years ago
sec(pi/3) = 1/cos(pi/3). As pi/3 or 60 degrees is one of the special angles you should know, then you should know what the value of cos(pi/3) is.

7pi/6 is pi + pi/6. It's pi/6 or 30 degrees below the negative x-axis. Its sine is the negative of the sine of pi/6. Again, that's a special angle that you're supposed to know the sine for.

So just plug in the values of cos(pi/3) and sin(pi/6).

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