Ex5Key - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 5...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 5 Key October 6, 2011 I. 1. True. 2. False. Consider x = 1 → y = π 2 . 3. False. Consider 0. 4. True. SSS with all lengths positive and √ 5 < 4 − √ 3. 5. True. Arccot , arctan and sin all have D = R . R sin = [ − 1 , 1] ⊂ D sec . 6. False. SSA, γ is acute, lengths positive and b sin γ = 1 . 5 < c = 2 < b = 3 → 2 △ s formed. 7. False. Consider 0. 8. True. 9. False. 10. False. Consider 2 cis 0. II. 1. Right triangle. Both leg lengths positive. → 1 △ c = radicalBig (2 √ 3 − 3) 2 + ( radicalbig 7 − 4 √ 3) 2 = radicalbig 21 − 12 √ 3 + 7 − 4 √ 3 = radicalbig 28 − 16 √ 3 c = 2 radicalBig 7 − 4 √ 3 sin β = b c = 1 2 → β = 30 ◦ → α = 60 ◦ 2. SSS with all lengths positive. → 1 △ Note that 2 √ 2 + 2 √ 6 is largest. a 2 = b 2 + c 2 − 2 bc cos α cos α = (2 √ 2 + 2 √ 6) 2 + (3 √ 2) 2 − (4) 2 2(2 √ 2 + 2 √ 6)(4 √ 2) = (32 + 16 √ 3) + 32 − 16 2(16 + 16 √ 3) = 16(3 +...
View Full Document

This note was uploaded on 11/09/2011 for the course MATH 17 taught by Professor Aaronjamesporlante during the Summer '11 term at University of the Philippines Diliman.

Page1 / 2

Ex5Key - Math 17 TWHFW-7 1 st Sem AY 2011-12 Exercise Set 5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online