Question

If sin theta =cos theta, find the value of 2tanθ + cos^2θ

Answer 1

since
sin@=cos@,

then
sin@/cos@ =1,

tan@=1,

tan@=tan45°,

then
@=45°,

therefore

2tan@+cos²@,

2×tan45° + cos²45°,

2×1 + (1/√2)²,

2 + 1/2,

5/2

Answer 2

Answer:

Step-by-step explanation:

sin A = cos A

As we know that sin 45° = cos 45 °

∴  A = 45 °

SO, 2tan A + Cos^2 A = 2tan 45° + cos^2 45 °

= 2(1) + (1/√2)^2

= 2 + 1/2

= 4/2 + 2/2

= 6/2

= 3

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