19. If (tan 0 + cot O) = 5, find the value of (tan2 O + cot2 O).
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Answer:
tan 0+ cot0 = 5
squaring both sides
(tan0+ cot0)² = 5²
tan²0 + cot²0 + 2 tan0*cot 0= 25
tan²0+cot²0 + 2tan0 *1/tan0 =25
tan²0+ cot²0 +2 = 25
tan²0 + cot²0 = 25-2
tan²0+ cot²0 = 23
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