Question

find the values of the following.
please give an correct answer​

Answer 1

Step-by-step explanation:

Given :-

Cosec(70°+θ)-Sec(20°-θ)+Tan(65°+θ) -Cot(25°-θ)

To find :-

Find the value of the expression ?

Solution :-

Given that

Cosec(70°+θ)-Sec(20°-θ)+Tan(65°+θ) -Cot(25°-θ)

We know that

Cosec θ = Sec (90°-θ)

We have ,

Cosec (70°+θ) = Sec [90°-(70°+θ)]

=> Cosec (70°+θ) = Sec (90°-70°-θ)

=> Cosec (70°+θ) = Sec (20°-θ)

and

Tan θ = Cot (90°-θ)

We have ,

Tan (65°+θ) = Cot [90°-(65°+θ)]

=> Tan (65°+θ) = Cot (90°-65°-θ)

=> Tan (65°+θ) = Cot (25°-θ)

Now,

Cosec(70°+θ)-Sec(20°-θ)+Tan(65°+θ) -Cot(25°-θ)

=>[Sec(20°-θ)-Sec (20°-θ)]+[Cot (25°-θ)

-Cot (25°-θ)]

=> 0+0

=> 0

Answer:-

The value of the expression is 0

Used formulae:-

→ Cosec θ = Sec (90°-θ)

→Tan θ = Cot (90°-θ)