cos85degree × sec 85degree × sin 45degree × tan 60degree × cot 60degree equals to.
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2
cos(85).sec(85).sin(45).tan(60).cot(60)
as cosx = 1/secx
so cos(x).sec(x) = 1
so
cos(85).sec(85) = 1
similarly
tanx = 1/cotx
so tan(x).cot(x) = 1
so tan(60).cot(60)= 1
so we are left with
(1).sin(45).(1)
sin 45
1/(√2)
as cosx = 1/secx
so cos(x).sec(x) = 1
so
cos(85).sec(85) = 1
similarly
tanx = 1/cotx
so tan(x).cot(x) = 1
so tan(60).cot(60)= 1
so we are left with
(1).sin(45).(1)
sin 45
1/(√2)
mahichhabra:
well we know cos is reciprocal of sec
and they have same angle
so they cancel out each other
similarly tan and cot cancel out each other
as they have same angel too
so we are left with only sin
and we fill the value of it
ok
thnx
hope there are no further doubts
Answered by
0
cos85. sec85. sin45. tan60. cot60
cos85. 1/cos85. sin45. tan60.1/tan60
1. sin45 . 1
sin 45
1/root2.
cos85. 1/cos85. sin45. tan60.1/tan60
1. sin45 . 1
sin 45
1/root2.
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