Question

what is the value of 2cos2 theta (1 +tan2 theta)​

Answer 1

Answer:

2

As : $2cos^{2}A (1+tan^{2} A)=2$

Step-by-step explanation:

Firstly I will take Θ = A [just because I can't type theta in the equation]

⇒ $2cos^{2}A (1+tan^{2} A)$

= $2cos^{2}A (sec^{2} A)$ [ as $1+tan^{2} A = sec^{2} A$ ]

Now, since secA = 1/cosA, Hence :

= $2cos^{2}A (\frac{1}{cos^{2}A } )$ = $2$

Hope it helps