Question

tan Q + Cot Q = 2 find the value of Q
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Answer 1

Step-by-step explanation:

tanQ + 1/tanQ = 2

(tan²Q + 1)/tanQ = 2

sec²Q / tanQ = 2

(1/cos²Q)/(sinQ/cosQ) = 2

1/sinQ * cosQ = 2

2sinQ*cosQ = 1

sin2Q = 1

sin2Q = sin90

2Q = 90

Q = 45 degree