8sec square 60-8 tan square 60
Answers
Answered by
4
Answer:
8
Step-by-step explanation:
8sec^2(60) - 8tan^2(60)
tan^2(x) + 1 = sec^2(x)
= 8(tan^2(60) + 1) - 8tan^2(60)
= 8tan^2(60) + 8 - 8tan^2(60)
= 8
Answered by
0
8sec² 60° - 8 tan² 60° = 8
Given :
8sec² 60° - 8 tan² 60°
To find :
The value of the expression
Formula :
sec²θ - tan²θ = 1
Solution :
Step 1 of 2 :
Write down the given expression
The given expression is 8sec² 60° - 8 tan² 60°
Step 2 of 2 :
Find the value of the expression
We are aware of the formula that
sec²θ - tan²θ = 1
Thus we get
8sec² 60° - 8 tan² 60°
= 8 ( sec² 60° - tan² 60° )
= 8 × 1
= 8
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