It is a trigonometry related sum and you have to find the value of the given expression

Question

Arun · Answer

sqrt (3)*csc20° - sec20°
= sqrt (3)*(1/sin20°) - 1/cos20°
= (sqrt (3)*cos20° - sin20°)/(sin20°*cos20°)
= 4*[(sqrt (3)/2)*cos20° - (1/2) sin20°]/(2sin20°cos20°)
= 4*(cos30°cos20° - sin30°sin20°)/sin (2*20°)
= 4*cos (30°+20°)/sin40°
= 4*cos50°/sin (90°-50°)
= 4*cos50°/cos50°
= 4.

Soumendu Majumdar · Answer

Dear Student, Though I know that your question is wrong as per your class since you have posted it I’ll find the value of the expression and you should also know the question should be Now to find the value of the expression you have posted we need to know the values of & (You can use an approximated value) (You can use an approximated value) so, so the value of (Take approximate value) Now to find the value of the correct expression, First, multiply with ½ to both numerator & denominator so we get = = = = = Hope it helps!