Question

If cosecθ = √2 , find the value of 1 + cos2 θ + sin2 θ/ 1 + sec2θ − tan2θ .

Answer 1

Answer:

2

Step-by-step explanation:

given:

cosec θ = √2

we know that cosec θ = 1/sinθ

this implies :- 1/sin θ = √2

=> sin θ = 1/√2

or

θ = 45° or π/4

According to question,

1+cos(2 × π/4)+ sin (2 × π/4) + 1/cos(2 × π/4) - tan (2 × π/4)

=> 1+0+1+ND-ND

(ND=not defined)

=2

[cosπ/2=0]

[sinπ/2=1]