Question

prove that
Sin 150°+cos300° - tan 315 + sec 660 = 4​

Answer 1

Step-by-step explanation:

Formulas used:

sin(180-θ) = sinθ

cos(360-θ) = cosθ

tan(360-θ) = -tanθ

sec(360-θ) = secθ

So,

sin(180-30) + cos(360-60) - tan(360-45) + sec(360-60) [sec(660) = sec(300)]

= sin 30 + cos 60 - (-tan(45)) + sec 60

= 0.5 + 0.5 + 1 + 2

= 1+1+2

= 4

Hence Proved.