Math, asked by Sahifa30281, 1 year ago

8sec square 60-8 tan square 60

Answers

Answered by nishatrahman2004
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 pulakmath007
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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