SOLUTION: 1. Find the exact value of the following given that sec𝛼 =5 and 270°<𝛼<360°.
sin𝛼/2
2. Express the product as a sum then find the sum’s exact value.
cos1
Algebra.Com
Question 1187014: 1. Find the exact value of the following given that sec𝛼 =5 and 270°<𝛼<360°.
sin𝛼/2
2. Express the product as a sum then find the sum’s exact value.
cos11𝜋/12cos𝜋/12
Hello! For these two problems, I am very confused about what to do. I need help solving both from the beginning.
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Find the exact value of the following given that sec𝛼 =5 and 270°<𝛼<360°.
sin𝛼/2
===================
sec(A) = 5 ---> cos(A) = 1/5
sin(A) = sqrt(1 - cos^2) = sqrt(24/25) = 2sqrt(6)/5
-----
Look up Half Angle Formulas on Wikipedia for sin(A/2)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Use parentheses!!!
1. Is it sin(a/2) = ? Or is it (sin(a))/2 =
2. This one, "cos11𝜋/12cos𝜋/12" can be interpreted many different ways. Since you say it is a product, you probably mean (cos(11pi/12))*(cos(pi/12)) =
But we tutors should not need to guess what it is that you write in your posts....
Re-post, showing the problems clearly.
NOTE!!! One problem per post, so post them separately.
RELATED QUESTIONS
Use the given information to determine the exact trigonometric value.
If cos(theta)=4/5... (answered by stanbon)
Find the exact value of cosine 2 theta given sine of theta = negative 3 over 8 and theta... (answered by lwsshak3)
Find the exact value of sin θ/2 if cos θ = 2/3 and 270 < θ <360.... (answered by AnlytcPhil)
Find the exact value of sin (theta)/2 if cos (theta) = 2/3 and 270 deg. < (theta) < 360... (answered by jsmallt9)
Use the given information to determine the exact trigonometric value.
If csc(theta)=... (answered by stanbon)
Express the following product of powers of + as a single power of + :... (answered by Mathtut)
a) write log(x^3 √(x+1)/(x-2)^2, x>2 as a sum and difference logarithms.Express all... (answered by MathLover1,MathTherapy)
Find the exact value of the following, without using a calculator.
sin(sin^-1... (answered by ikleyn)
1-Find the exact value of this expression. sin^-1(-1/2)
2-Find the exact value of this (answered by stanbon)