Question

find the value of
tan 840°
cosec 945°
step by step answer​

Answer 1

Answer:

sin600×tan(−690)+sec840×cot(−945)

So, sin 600 = sin(360 + 240)

     sin 600 = sin 240 = sin (180 + 60)

     sin 600 = -sin 60

     sin 600 = -\frac{\sqrt 3}{2}−23

tan (-690) = - tan 690

tan (-690) = - tan(360 + 330)

tan (-690) = - tan 330 = - tan (270 + 60)

tan (-690) = - cot 60

tan (-690) = -\frac{1}{\sqrt 3}−31

sec 840 = sec (720 + 120)

sec 840 = sec 120 = sec (90 + 30)

sec 840 = - cosec 30

sec 840 = -2

cot (-945) = - cot 945 = - cot (720 + 225)

cot (-945) = - cot 225 = - cot (270 - 45)

cot (-945) = - cot 45 = -1

Answer 2

Answer:

tan(840),cosec(945)

Step-by-step explanation:

tan840=tan(840-720)

tan(120)

tan(180-60)

-tan60=

$- \sqrt{3}$

cosec(945)

cosec(945-720)

cosec(225)

cosec(270-45)

-sec(45)

$- \sqrt{2}$