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Some Applications Of Trigonometry

Question

Consider ΔACB, right-angled at C, in which AC = 4 units, BC = 3 units and ΔABC = θ. Determine the values of:
$left parenthesis straight i right parenthesis space cos squared straight theta plus sin squared straight theta space as space equals space 1 left parenthesis ii right parenthesis space cos squared straight theta space minus space sin squared straight theta space as space equals space fraction numerator negative 7 over denominator 25 end fraction.$

Solution

Solution not provided.
Ans. (i) 1, (ii) $fraction numerator negative 7 over denominator 25 end fraction$