Show that the equation is an identity.cot(csc-1 x) = 
What will be an ideal response?
cot2? + 1 = csc2? is the Pythagorean Identity
So cot ? = 
for 0 < ? < ?
Let ? = csc-1 x. Then cot(csc-1 x) = 
= 
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Solve.For maximum benefit during exercise, one's heart rate should increase by 50% to 85% above resting heart rate. (a) Alice has a resting heart rate of 70 bpm (beats per minute). What would her heart rate be if she increased it by 80% during exercise? (b) Sahill, who has a resting heart rate of 68 bpm , increased it to 119 bpm. By what percent did he increase his resting heart rate?
A. (a) 126 bpm, (b) 85% B. (a) 116 bpm, (b) 85% C. (a) 116 bpm, (b) 75% D. (a) 126 bpm, (b) 75%
The graph of the function 
has been stretched horizontally by a factor of 2. Find the function for the transformed graph.
Factor the polynomial completely.t3 + 64
A. (t + 4)(t2 - 4t + 16) B. (t - 64)(t2 - 1) C. (t + 4)(t2 + 16) D. (t - 4)(t2 + 4t + 16)
Find the conjugate of the complex number. Then multiply the complex number by its conjugate.-6 - 7i
A. -6 + 7i; 85 B. -13; 85 C. 1; 85 D. -6 - 7i; 85