Monday

December 22, 2014

December 22, 2014

Posted by **george** on Tuesday, January 1, 2013 at 1:23pm.

21. Write 2sin37°sin26° as a sum (or difference).

- trigonometry -
**Reiny**, Tuesday, January 1, 2013 at 2:36pm14.

sin 2x + sinx = 0

2sinxcosx + sinx = 0

sinx(2cosx + 1) = 0

sinx = 0 or sinx = -1/2

for sinx = 0**x = 0, π, 2π**

for sinx = -1/2

**x = 7π/6 or 11π/6**( 210° or 330°)

21.

recall:

cos u - cosv = -2sin( (u+v)/2 ) sin( (u-v)/2 )

let (u+v)/2 = 37 ---> u+v = 74

let (u-v)/2= 26 ----> u-v = 52

add them:

2u = 126

u = 63 , then v = 11

-2 sin((63+11)/2) sin((63-11)/2) = cos 63 - cos 11

2 sin((63+11)/2) sin((63-11)/2) = cos11° - cos63°

**Answer this Question**

**Related Questions**

trigonometry - 5. If cot 2θ = 5/12 with 0 ≤ 2θ ≤ π...

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...

Trigonometry - IM STUCK ON THESE :( 1. What is the equation for shifting the ...

Pre Calculus - sec x = -2 , π ≤ x ≤ 3π Use a calculator to...

PreCalc - I'm not sure how to solve these with calculator. sec x = -2 , π...

Trig - On the same set of axes, sketch and label the graphs of the equations y...

algebra 1 help please - 4) a student score is 83 and 91 on her first two quizzes...

calculus - In spherical coordinates, the inequalities 0≤ρ≤2, 3...

Trigonometry - Suppose sin A = 12/13 with 90º≤A≤180º. Suppose also ...

Math/Trigonometry - 1. Solve: 2 cos² x - 3 cos x + 1 = 0 for 0 ≤ x < ...