prove that:(1-sin^4A)/cos^4A=1+2tan^2A
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Answered by
37
Answer:
Step-by-step explanation:
(1 - Sin⁴A) / Cos⁴A
= (1/Cos⁴A) - (Sin⁴A/Cos⁴A)
= Sec⁴A - Tan⁴A
= (Sec²A)² - (Tan²A)²
= (Sec²A + Tan²A) (Sec²A - Tan²A)
//Remember Sec²A - Tan²A = 1 and Sec²A = 1 + Tan²A
= 1 + Tan²A + Tan²A
= 1 + 2Tan²A
= R.H.S
Answered by
19
Answer:
(1 - Sin⁴A) / Cos⁴A
= (1/Cos⁴A) - (Sin⁴A/Cos⁴A)
= Sec⁴A - Tan⁴A
= (Sec²A)² - (Tan²A)²
= (Sec²A + Tan²A) (Sec²A - Tan²A)
Step-by-step explanation:
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