Posted by **ajit yadav** on Tuesday, May 14, 2013 at 1:48am.

find acute angle A and B satisfying secAcotB-secA-2cotB+2=0

- trigonometry -
**Reiny**, Tuesday, May 14, 2013 at 8:38am
secAcotB-secA-2cotB+2=0

(1/cosA)(cosB/sinB) - (1/cosA)- 2(cosB/sinB) = -2

multiply each term by sinBcosA

cosB - sinB - 2cosBcosA = -2cosAsinB

cosB - sinB - 2cosBcosA + 2cosAsinB = 0

(cosB - sinB) - 2cosA(cosB - sinB) = 0

(cosB - sinB)(1 - 2cosA) = 0

cosB = sinB OR 1 - 2cosA = 0

if cosB = sinB

sinB/cosB = 1

tanB = 1

B = 45° or π/4

if 1-2cosA = 0

cosA = 1/2

A = 60° or π/3

so A=60° , B= 45°

A=π/3 , B=π/4

## Answer this Question

## Related Questions

- Maths trigonometry - Find the acute angles A and B satisfying secAcotB-secA-...
- Help with deductive reasoning - Determine whether you can use the Law of ...
- Trigonometry - find (acute) angle A, given: a. sin A = 0.4919 b. tan A = 2.7775 ...
- ALGEBRA 1 - If x and 3x-10 represent the measure of the acute angles of a right ...
- trig - Ok, so im brand new at trigonometry. If i have a right triangle with an ...
- geometry - find acute angles A and B satisfying cot(A+B)=1 , cosec (A-B)=2
- geometry - find acute angie A and B satisfying cot(A+B)=1 , cosec(A-B)
- geometry - find acute angles A and B satisfying cot(A+B)=1 , cosec(A-B)=2
- geometry - the sum of the measures of an obtuse angle and acute angle is 12 ...
- Trigonometry - If cos(a)=1/2 and sin(b)=2/3, find sin(a+b), if 1) Both angles ...

More Related Questions