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13. li, sinc)cosO, then find the value of 2 tan θ + cos θ→2LE cos Afind the value of, 4+4 tan-4

Answer»

It is given that , sinx = cosx

we know, at x = π/4 , sinx = cosx = 1/√2

so, x = π/4 or 45°

now, 2tanx + cos²x

= 2tanπ/4 + cos²π/4

= 2 × 1 + (1/√2)²

= 2 + 1/2

= 5/2


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