Prove the identity secxcscx(tanx+cotx)=2+tan^2x+cot^2x

1. apply the distributive property
2. apply the definitions of secant, cosecant, tangent, and cotangent
3. simplify the expressions
4. apply the definitions of secant and cosecant
5. apply the pythagorean identities
6. simply the expressions

Nikolas calculated the volume of the prism. his work is shown below.

Problem situation: caren is making rice and beans. she can spend no more than $10 on ingredients. she buys one bag of rice for $4.99. beans cost $0.74 per pound. how many pounds of beans, x, can she buy? inequality that represents this situation: 10≥4.99+0.74x drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.