Question

sin150+cos300-tan315+sec3660​

Answer 1

Answer:

1

Step-by-step explanation:

sin (150°) - tan (315°) + cos (300°) + sec^{2}sec

2

(360°)

Sign rule: 1st (all) 2nd (sin) 3rd (tan) 4th (cos)

Alternate angle for 150 is (180-150) = 30

sin 30° = 1/2 and the sign is positive

Alternate angle for 315 is (360-315) = 45

tan 45° = 1 and the sign is negative

Alternate angle for 300 is (360-300) = 60

cos 45° = 1/2 and the sign is positive

sec 360° = 1

So, we get

1/2 - (-1) + 1/2 + 1