Let C- n-0-cosn-n-Which of the following statements is FALSE-

The correct option is C C(θ) ≠ 0 for all θ∈ R C(0)=e C(π)=1e Hence, option A and B are correct C'(θ)= ∑_n=0^∞sinθ(n 1)! C'(θ)=0 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Derivative of Standard Functions

Let Cθ=∑ n...

Question

Let $C (θ) = \infty \sum n = 0 \frac{cos (n θ)}{n!}$
Which of the following statements is FALSE?

C (0) . C (π) = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C (0) . C (π) > 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C (θ) > 0

for all

θ \in R

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C (θ) \neq 0

for all

θ \in R

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

C (θ) = \infty \sum n = 0 \frac{cos (n θ)}{n!} .

C (θ)

C (θ)

5.4 sin θ

C (θ)

θ

0^{\circ}

θ

= 180^{\circ}

W_{a}

W_{b}

g = 10 m / s^{2}

\frac{1}{m!} C_{0} + \frac{n}{(m + 1)!} C_{1} + \frac{n (n - 1)}{(m + 2)!} C_{2} + . . . . . + \frac{n (n - 1) . . .2 .1}{(m + n)!} C_{n} = \frac{(m + n + 1) (m + n + 2) . . . (m + 2 n)}{(m + n)!}

r \geq 0

(\begin{matrix} m r \end{matrix}) C_{0} + (\begin{matrix} m r - 1 \end{matrix}) C_{1} + . . . . . . (\begin{matrix} m 0 \end{matrix}) C_{r} = (\begin{matrix} m + n r \end{matrix})

sin θ = cos θ

θ

1

0

f (θ) = sin θ (sin θ + sin 3 θ)

f (θ)

Join BYJU'S Learning Program