Sin(150°) - tan(315°) + cos(300°) + sec^2 (360°) I know it's answer is 3 but I don't understand how ...

please explain it in detailed steps pls

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  3

Step-by-step explanation:

If you need to, you can use your calculator to evaluate this expression. Or, you can make use of your knowledge of trig function values.

  sin(150°) = sin(30°) = 1/2

  tan(315°) = tan(-45°) = -tan(45°) = -1

  cos(300°) = cos(-60°) = cos(60°) = 1/2

  sec(360°) = sec(0°) = 1

Then the expression evaluates to ...

  1/2 -(-1) +1/2 +1² = 3

see explanation

Step-by-step explanation:

sin150° = sin(180 - 150)° = sin30°

tan315° = - tan(360 - 315)° = - tan45°

cos300° = cos(360 - 300)° = cos60°

sec²360° =

Then expressing the original gives

sin150° - tan315° + cos300° + sec²360°

= sin30° - (- tan45°) + cos60° +

Evaluate using exact values

= - (- 1) + +

= + 1 + + 1

= 3

the function makes a strait line horizontally with no x intercept but a y intercept at 9.