Answer:
Step-by-step explanation:
If ' n ' is the cardinal number of a set, the number of subsets of a given set can be obtained by using the formula 2ⁿ
Given,
N = { 1 , 42 , 65 , 12 , 31 , 27 }
where n ( total number of elements ) = 6
So, the number of possible subsets of set N :
= 2ⁿ
= 2⁶
= 2 × 2 × 2 × 2 × 2 × 2
= 64
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we are given
We will simplify left side and make it equal to right side
Left side:
we can use trigonometric identity
we can replace it
we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get
now, we know that
tan =sin/cos
we can simplify it
and we get
we can also write it as
Right Side:
we can see that
left side = right side
so,
......Answer
