solve 1 and 3 pls urgent tmrw exam
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Just give a look at this
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roh4:
thanks very much
if u can 3 plz do it
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i) tanΦ + cotΦ = 2
squaring both sides.....
( tanΦ + cotΦ)² = 4
tan²Φ + cot²Φ + 2 tanΦcotΦ = 4
tan²Φ + cot²Φ + 2 tanΦ*1/tanΦ=4
tan²Φ + cot²Φ + 2 = 4
tan²Φ+ cot²Φ = 2
iii) taking LHS
1-sin¤/1+sin¤
rationalise......
(1-sin¤) (1-sin¤)/(1+sin¤ )(1-sin¤)
(1-sin¤)² / 1-sin²¤
1+sin²¤-2sin¤/cos²¤
separating denominator
1/cos²¤ + sin²¤/cos²¤ - 2 sin¤/cos²¤
sec²¤ + tan²¤ - 2 tan¤sec¤
which is ,
(sec¤-tan¤)² [using..(a+b)² = a²+b²+2ab]
squaring both sides.....
( tanΦ + cotΦ)² = 4
tan²Φ + cot²Φ + 2 tanΦcotΦ = 4
tan²Φ + cot²Φ + 2 tanΦ*1/tanΦ=4
tan²Φ + cot²Φ + 2 = 4
tan²Φ+ cot²Φ = 2
iii) taking LHS
1-sin¤/1+sin¤
rationalise......
(1-sin¤) (1-sin¤)/(1+sin¤ )(1-sin¤)
(1-sin¤)² / 1-sin²¤
1+sin²¤-2sin¤/cos²¤
separating denominator
1/cos²¤ + sin²¤/cos²¤ - 2 sin¤/cos²¤
sec²¤ + tan²¤ - 2 tan¤sec¤
which is ,
(sec¤-tan¤)² [using..(a+b)² = a²+b²+2ab]
clear?
thx very much
ur the best
tmrw was my exam this two questions i was not getting at all
thank u
welcome dear
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