Question:

If tan = 3/4 , find the values of sec and cos.

Answer:

Given tan = 3/4
We have 1+tan²= sec²
1+(3/4)² = sec²
1+(9/16) = sec²
sec² = (16+9)/16 = 25/16
Taking square root on both sides
sec = 5/4
We have cos = 1/sec
cos = 1÷(5/4)
cos = 4/5
Hence sec = 5/4 and cos = 4/5.

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If tan = 3/4 , find the values of sec and cos.

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