Trigonometry

I can state the sum and difference formulas for sine, cosine, and tangent. I can use the sum and difference formulas to simplify expressions and find exact values.

2560 mg of a certain radioactive element is stored in a laboratory for 136 days. At the end of this period only 10 mg of the element remain. What is the half-life of this element? (An algebraic solution is required)

A bacteria strain doubles its number every 20 minutes. If there are 10 bacteria initially how many bacteria will there be after 5 hours? (An algebraic solution is required

Determine the cos equation for the following graph. 5 4 3 2 1 120 120 240

Using an algebraic method, find the number of terms for the following arithmetic sequence: -11,-4, 3,..., 241.

Determine the general formula for the nth term, ,, for the following sequences. (a) 26, 23, 20, 17,... (b) 6, 12, 24, 48, ...

Solve for in the equation: tanθ=-0.6319, 0 ≤ θ ≤ 360. Give answers to the nearest degree.

Simplify 2m² + 5m / m² +4m-21 + 2m² +13m +20 / m² +m-12 State any restrictions on the variables.

The function h(t)=-5r² +20r+1 gives the approximate height, h metres, of a thrown football as a function of time, seconds, since it was thrown. (i) Complete the square. (iii) When did the football reach its maximum height? (iii) What was the maximum height of the football?

Prove the trig. identity: sin θ / 1+cosθ + sin / 1-cosθ = 2 csc θ