28. Calcule: a)  sen arcsenx2 b)  tg arcsenx c)  cos arctg arctg2 3 d) arctg arctg 1 1 4 5 239 e)  arctg x arctgx  f) sen arctg arccos ...

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28. Calcule: a)  sen arcsenx2 b)  tg arcsenx c)  cos arctg arctg2 3 d) arctg arctg 1 1 4 5 239 e)  arctg x arctgx  f) sen arctg arccos       1 3 3 2 2 g) arccos cos      4 h) arcsen sen       7 3 i) arcsen sen arccos cos              33 46 7 7 j) sen arcsen             1 2 2 2 3 k) cot g arccos          1 4 2 7 l) sen arctg arcsen       8 8 15 17 m) cos arctg arccos       1 3 2 4 5 n) sen arcsen arccos             5 5 2 3 3

Ed · Answer

a) sen(arcsen(x^2)) = x^2
b) tg(arcsen(x)) = x/√(1-x^2)
c) cos(arctg(2/3)) = 3/√13
d) arctg(tg(1/4 - 5/239)) = 1/4 - 5/239
e) arctg(x) + arctg(x-1) = arctg[(2x-1)/(1-x^2)]
f) sen(arctg(3/2) + arccos(3/5)) = 4/5
g) arccos(cos(π/4)) = π/4
h) arcsen(sen(7π/3)) = π/3
i) arcsen(sen(π/7 + π/46)) = π/7
j) sen(arcsen(2/3) - arccos(2/3) + arctg(√3))) = 1/2
k) cotg(arccos(1/4) - arccos(2/7)) = -√15/23
l) sen(arctg(8/15) - arcsen(8/17)) = 120/289
m) cos(arctg(3/4) + arccos(2/5)) = 1/4
n) sen(arcsen(5/3) - arccos(2/3)) = 4/5

28. Calcule: a)  sen arcsenx2 b)  tg arcsenx c)  cos arctg arctg2 3 d) arctg arctg 1 1 4 5 239 e)  arctg x arctgx  f) sen arctg arccos ...

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