1) solve the equations , find x:
a) 2sin(2x)cos(x)= ((sqrt3)+2)sin(x)

b)cos(2x)+sin(x) -1 = 0

2) calculate the exact solutions of x:
a) 5cos(x)+12sin(x)=7

b)-sqrt(2-sqrt(3))sin((1/3)x)+ sqrt(2-sqrt(3))cos((1/3)x)=2sin((5/12)*pi)

3) Triangle ABC  alpha = 50 degrees , b = 6

a) If a = 5, then you can draw 2 triangles, draw both triangles.

Calculate for both triangles beta and gamma in degrees exact, and side c too!

b) how many triangles can you draw if a = 4? can you explain that

Thanks alot ! :D
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}