Question

5. If (x+y, x-y) = (Tan 45º, Cot 45%) then the value of x and y is.
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A) sin 90°. cosoº B) cos 45º. sin 90° C) sin 90°. cos90° D) A and C
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Answer 1

Answer:

Answer is =1

Step-by-step explanation:

tan 45 = sin 45/cos 45 …………………………………………….(1)

But we know, sin 45 = 1/√2 and cos 45 = 1/√2

Substituting in (1),

tan 45 = (1/√2) ÷ (1/√2) = 1/√2 x √2/1 = (1x√2)/(√2x1) = 1

and cot 45 = 1/tan 45 = 1/1 = 1

tan 45 + cot 45 = 1+1 =2

tan 45 x cot 45 = 1 x 1 = 1