Question

4 tan² A - 4 sec² A is aqual to:
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Answer 1

Answer:

-4

Step-by-step explanation:

Given: 4 tan²A - 4 sec²A and we need to find out the value of it.

Trigonometry formulas:

s

• sin²Ø + cos²Ø = 1
• tan²Ø + 1 = sec²Ø
• 1 + cot²Ø = cosec²Ø

From above we can say that,

tan²A + 1 = sec²A

Substitute value oftan²A + 1 = sec²A in 4 tan²A - 4 sec²A

→ 4 tan²A - 4 sec²A

→ 4 tan²A - 4(tan²A + 1)

→ 4 tan²A - 4tan²A - 4

Take 4 as common,

→ 4(tan²A - tan²A - 1)

tan²A - tan²A cancel out, we left with

→ 4(-1)

→ -4

Hence the value of 4 tan²A - 4 sec²A is -4.

Answer 2

4 tan² A - 4 sec² A is aqual to -4.

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