Q if sec4Ѳ+ sec2 Ѳ=10+ tan4 Ѳ+tan2 Ѳ then sin2 Ѳ= ? the answer is 4/5 (4 divided b 5)

sec4Ѳ+ sec2Ѳ=10+ tan4Ѳ+tan2Ѳsec4Ѳ – tan4Ѳ = 10+tan2Ѳ – sec2Ѳ(sec2Ѳ+tan2Ѳ)(sec2Ѳ-tan2Ѳ) =10-1sec2Ѳ+tan2Ѳ=91+tan2Ѳ+tan2Ѳ=92tan2Ѳ = 8tan2Ѳ = 4therefore sin2Ѳ=4/5

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Grade 11Trigonometry

Q if sec⁴Ѳ+ sec² Ѳ=10+ tan⁴ Ѳ+tan² Ѳ then sin² Ѳ= ?

the answer is 4/5 (4 divided b 5)

divyanshu

11 Years agoGrade 11

1 Answer

Sunil Raikwar

Approved Tutor Answer11 Years ago

sec⁴Ѳ+ sec²Ѳ=10+ tan⁴Ѳ+tan²Ѳ
sec⁴Ѳ – tan⁴Ѳ = 10+tan²Ѳ – sec²Ѳ
(sec²Ѳ+tan²Ѳ)(sec²Ѳ-tan²Ѳ) =10-1
sec²Ѳ+tan²Ѳ=9
1+tan²Ѳ+tan²Ѳ=9
2tan²Ѳ = 8
tan²Ѳ = 4
therefore sin²Ѳ=4/5