Question

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If sin theta = cos theta , then find the value of
2tan theta + cos² theta

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Answer 1

✍︎ANSWER✍︎

sɪɴθ=ᴄᴏsθ(ɢɪᴠᴇɴ)

⇒θ=4π

ɴᴏᴡ,

2ᴛᴀɴθ+ᴄᴏs2θ

=2ᴛᴀɴ π / 4+ᴄᴏs2 π/ 4

=

$2(1) \: + ( { \frac{1}{ \sqrt{2} } })^{2}$

=

$2 + \frac{1}{2}$

➪

$\frac{5}{2}$

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Answer 2

=2(1)+(1/√2)^2

=2+1/2

=5/2