a) Известно, что sina + cosa = p
Найдите; 1) sina*cosa
2) sin²a + cos²a
3) sin³a + cos³a
4) sin⁴a + cos⁴a

б)Зная, что tgφ=[tex] \frac{ \sqrt{ a^{2} + b^{2} } }{a+b} [/tex] и φ ∈ [0; π/2]


в) Докажите тождество
1) [tex] \frac{tgx+tgy}{ctgx + ctgy} = tgxtgy [/tex]
2) ctg²a - cos²a = ctg²acos²a
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