If a=sin(pi/4), b=cos(pi/4) and c=-cosec(pi/4) then the value of a³+b³+c³ is
Dhairya , 2 Years ago
Grade 10
Trigonometry> If a=sin(pi/4), b=cos(pi/4) and c=-cosec(...
2 Answers
046 Nirbhay Gupta
Last Activity: 2 Years ago
a = sin 45 = 1/√2
b = cos 45 = 1/√2
c = -cosec 45 = -√2
a3+b3+c3 = (1/√2)3 + (1/√2)3 + (-√2)3
= (1/2√2) + (1/2√2) – (2√2)
= -3/√2
Mukul
Last Activity: 2 Years ago
sin 45 = 1/√2, cos 45 = 1/√2, -cosec 45 = -√2
a^3+b^3+c^3 = (1/√2)^3 + (1/√2)^3 + (-√2)^3
= (1/2√2) + (1/2√2) – (2√2)
= -3/√2
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