Question

if sin theta equals to cos theta then find the value of 2 tan theta + cos squared theta

Answer 1

Answer:

2 tanФ + cos² Ф  = 5/2

Step-by-step explanation:

Given that

sinФ = cosФ

sinФ = sin(90 - Ф)     [∵ cosФ = sin(90 - Ф)]

Comparing both sides

Ф = 90 - Ф

2Ф = 90

Ф = 45

Now

2 tanФ + cos² Ф

= 2 tan 45 + cos² 45          [ ∵Ф = 45]

= 2 × 1 + (1/√2)²                  [ ∵ tan 45 = 1 and cos 45 = 1/√2 ]

= 2 + 1/2

= 5/2

∴ 2 tanФ + cos² Ф  = 5/2

Answer 2

Answer:

Step-by-step explanation: