find the values of the following.
please give an correct answer
Share
find the values of the following.
please give an correct answer
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
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)