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Finding the perimeter of a right triangle given hypotenuse and angles; Displacement of an oscillating bob; Completing a trigonometric identity; Trigonometric graphs

1. The hypotenuse of a 30-60-90 triangle is 9. Find the perimeter.

2. I am so lost with this one its not funny
(-.6t/40) _______________
The displacement, d=-7e cos(√(pi/3)^2-0.36/1600) t)

Should read: d= negative seven (e) to the negative .6t divided by 40, COS (pi divided by 3 all squared - .36/1600 all under the square root symbol, t

What is the displacement of the bob at the end of the first oscillation?

3.Identify the expression that completes the equation so that it is an identity.

1-sin u cos u
_____ + ____ =
Cos u 1-sin u

-1
4. What is the graph of y = cos (-x) on the interval -5 less than or equal to x less than or equal to 5?

5. Rewrite √3/2 sin x + 1/2 cos x in the form k sin(x+a)
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Finding the perimeter of a right triangle given hypotenuse and angles; Displacement of an oscillating bob; Completing a trigonometric identity and Trigonometric graphs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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