Find the value of 8sec²theta-8tan²theta
Answers
Answer:
Ans. 8
Step-by-step explanation:
8 sec²0 – 8 tan²0
8 ( sec²0 – tan²0)
8 ( 1 )
since, sec²0 – tan²0 = 1
8 Ans.
here 0 = thetha
HOPE IT HELPS (•‿•)
The value of 8sec²θ - 8tan²θ = 8
Correct question : Find the value of 8sec²θ - 8tan²θ
Given :
The expression 8sec²θ - 8tan²θ
To find :
The value of the expression
Formula Used :
We are aware of the trigonometric identity that
sec²θ - tan²θ = 1
Solution :
Step 1 of 2 :
Write down the given expression
Here the given expression is 8sec²θ - 8tan²θ
Step 2 of 2 :
Find the value of the expression
8sec²θ - 8tan²θ
= 8(sec²θ - tan²θ)
= 8 × 1 [ ∵ sec²θ - tan²θ = 1 ]
= 8
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