Question

5. Given 8 tane = 3 cose, then the value of the expression
E = sino + cose + tano + seco + coseco + cote can be
a+bſc
expressed as
where b, c and d are primes
d
then the value of (a + b + c + d) equal :
(A) 26
(B) 25
(C) 24
(D) 23
answer is 26 plz explain​

Answer 1

tanθ=3cotθ

tan

2

θ=3

tanθ=

3

tanθ=tan60

θ=60

E=sinθ+cosθ+tanθ+secθ+cosecθ+cotθ

E=sin60+cos60+tan60+sec60+cosec60+cot60

E=

2

3

+

2

1

+

3

+2+

3

2

+

3

1

E=

2

3

3

+

2

5

+

3

3

E=

2

5

3

+

2

5

E=

2

5+5

3

Thus, a=5,b=5,c=3,d=2

a+b+c+d=15