Home
Class 12
MATHS
sum(r=1)^(100)(tan 2 ^(r-1))/(cos 2^(r))...

`sum_(r=1)^(100)(tan 2 ^(r-1))/(cos 2^(r))`

A

`tan 2^(99)-tan 1`

B

`tan 2^(100)`

C

`tan 2^(100)-tan 1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos

  • NTA TPC JEE MAIN TEST 124

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

  • NTA TPC JEE MAIN TEST 36

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q , then find the value of (p+q) .

sum_(r=1)^(n)tan^(-1)((2^(r-1))/(1+2^(2r-1))) is equal to:

sum_(r=1)^(n)tan^(-1)((2^(r-1))/(1+2^(2r-1))) is equal to

Prove that sum_(r=1)^(n) tan^(-1) ((2^(r -1))/(1 + 2^(2r -1))) = tan^(-1) (2^(n)) - (pi)/(4)

Find the period of the following functions: f(x)=sum_(r=1)^(n)(sin(x/2^(r-1))+tan(x/2^(r)))

sum_(r=1)^(20) r (2r+1)=

sum_(r=1)^(oo)tan^(-1)((2)/(1+(2r+1)(2r-1)))

sum_(i=1)^(oo)tan^(-1)((1)/(2r^(2)))=