Question

If cosecA - cotA=q , then find value of cotA , in terms of "q"
answer is
(1-q^2/2q)

but how​

Answer 1

Step-by-step explanation:

a graphing paper.

pages

Problem #1. A local boutique produced two designs of gowns A and B and has the following materials

available: 18 square meters of cotton, and 20 square meters of silk, and 5 square meters of wool. Design A

requires the following: 3 square meters of cotton, 2 square meters of silk and 1 square meter of wool. Design B

requires the following: 2 square meters of cotton, 4 square meters of silk. If the Design A sells for P1,200 and

Design B for P1,600, how many of each garment should the boutique produce to obtain the maximum amount

of money?

Answer 2

Answer:

(1-q^2/2q)

Step-by-step explanation:

cosecA-cotA=q   --(given)   ---(1)

Multiplying numerator and denominator by (cosecA+cotA)

(cosecA-cotA)(cosec+cotA)/(cosecA+cotA)=q

(cosec^2A-cot^2A)/cosecA-cotA)=q   -----(2)

As cosec^2A-cot^2A=1  --(formula)

Therefore, Substituting above values in (2), we get

1/(cosecA+cotA)=q

cosecA+cotA=1/q  ---(3)

Subtracting (1) and (3), we get

cosecA-cotA=q  

(-)

cosecA+cotA=1/q

(-)          (-)       (-)

______________

0-2cotA=q-1/q

1/q-q=2cotA

Simplifying,we get

(1-q^2)/q=2cotA

Therefore cotA in terms of q =

2cotA=(1-q^2)/q

cotA=(1-q^2)/2q