prove that sin square 30 degree cos square 45 degree + 4 tan square 30 degree+12 sin square 90 - Maths - Introduction to Trigonometry

Question

prove that sin square 30 degree cos square 45 degree + 4 tan square
30 degree+12 sin square 90 degree + 1/8 cot square 60 degree =2

Manbar Singh · Accepted Answer

LHS = sin230° 
 cos245° + 4 tan230° + 12sin290° +18cot260°=122 × 122 + 4 × 132 + 12×12 + 18×132=14×12 + 43 + 12 + 124=18 + 43 + 12 + 124=3 + 32 + 12 + 124=4824=2=RHS

prove that sin square 30 degree. cos square 45 degree + 4 tan square 30 degree+12 sin square 90 degree + 1/8 cot square 60 degree =2