Questions asked by jensen

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• How can I prove that (2 csc^2 (x) − 1) = ((csc^4 (x)) − (cot^4 (x))) or if it does not, how can I prove that?
  
• [HARD] Can You Help me With A Riddle of a Trig Question?
  
• VECTORS: u = <3, 3> and v = <11, 8>. Then what is (-u + 4v)?
  
• Write the equation in rectangular coordinates: #r=10sin(θ)#?
  
• Can you Solve [(2)^2 cos^2(x) - √(3) cos(x) = 0] on the interval 0˚< x < 360?
  
• Solve #6 sin(x - 2)=14# within #[0, 2pi)#?
  
• Are there any solutions for this equation within (0,2π)? [cosx=sinx] if so, what are they?
  
• Rachel invests $500 in an annuity that offers an interest rate of 5% compounded quarterly for 10 years. What is the value of Rachel's investment after 10 years?
  
• Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic interest rate of this bond?
  
• Claribel has a $500 bond with a 4% coupon. Claribel purchased this bond for $525. What is the yield of this new bond?
  
• How do you write this complex number in rectangular form #sqrt8 "cis"(-pi/3)#?
  
• Can you find [ (2(cos80˚+isin80˚))^3 ] ? then express the answer in rectangular form.
  
• Can you find the product of z1 and z2? z1=4(cos40˚+ i sin40˚) z2=2(cos20˚+ i sin20˚) Give your answer in rectangular form.
  
• How do you find the two square roots of -5 + 12i?