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Range of Trigonometric Ratios from 0 to 90 Degrees

4 A - 2 A is ...

Question

sec⁴ A − sec² A is equal to

(a) tan² A − tan⁴ A
(b) tan⁴ A − tan² A
(c) tan⁴ A + tan² A
(d) tan² A + tan⁴ A

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Solution

The given expression is .

Taking common from both the terms, we have

Disclaimer: The options given in (c) and (d) are same by the commutative property of addition.

Therefore, the correct options are (c) or (d).

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