What is the value of (cosec(78ᵒ + θ) - sec(12ᵒ - θ) - tan(67ᵒ + θ) + cot(23ᵒ - θ))/(tan 13ᵒ tan 37ᵒ tan 45ᵒ tan 53ᵒ tan77ᵒ)

What is the value of (cosec(78ᵒ + θ) - sec(12ᵒ - θ)…

What is the value of (cosec(78^o + θ) - sec(12^o - θ) - tan(67^o + θ) + cot(23^o - θ))/(tan 13^o tan 37^o tan 45^o tan 53^o tan77^o)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 0

Explanation:

(cosec(78^o + θ) - sec(12^o - θ) - tan(67^o + θ) + cot(23^o - θ))/(tan

13^o tan37^o tan45^o tan53^o tan77^o)

(cosec(90^o - (12^o - θ)) - sec(12^o - θ) - tan(90^o - (23^o - θ)) + \cot(23^o - θ))/(tan

13^o tan37^o tan45^o tan53^o tan77^o)

(sec(12^o - θ) - sec(12^o - θ) - cot(23^o - θ) + cot(23^o - θ))/(tan

13^o tan37^o tan45^o tan53^o tan77^o)

(0)/(tan 13^o tan37^o tan45^o tan53^o tan77^o) = 0