The value of the expression [cosec (75^o + θ) - sec (15^o - θ) - tan (55^o + θ) + cot(35^o - θ] is ___________

(a)

-1

(b)

0

(c)

1

(d)

\(\frac{3}{2}\)

If sin θ - cos θ = 0, then the value of (sin⁴ θ + cos⁴ θ) is ___________

(a)

1

(b)

\(\frac{3}{4}\)

(c)

\(\frac{1}{2}\)

(d)

\(\frac{1}{4}\)

A pole 6 m high a shadow 2\(\sqrt{3}\) m long on the ground, then the sun's elevation is ___________

(a)

60^o

(b)

45^o

(c)

30^o

(d)

90^o

If sec θ + tan θ = n, and sec θ - tan θ = 0, then the value of mn is ___________

(a)

2

(b)

1

(c)

土1

(d)

土2

The blanks of river are parallel. A swimmer starts from a point on one of the banks and swims in a straight line to the bank at 45^o and reaches the opposite bank at a point 20 m, from the point opposite to the straight point. The breadth of the river is equal to ____________

(a)

12.12m

(b)

14.14m

(c)

1016.16m

(d)

18.18m