# Calculus

What is the integral of 1-tan^2theta from 0 to pi/3?

Using the identity tan^2theta=sec^2theta-1,
I got my answer to be

2pi/3 - sqrt*3

Can someone verify this for me please?

1. You are correct!!

Good job :)

posted by helper

## Similar Questions

1. ### Math

sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta) sin(2theta) would it be 2 x (8/17) cos(2theta) would be 2 x (15/17) tan(2theta) would be 2
2. ### Math

Prove: [(tan^2theta+1)(cos^2theta-1)]=1-sec^2theta
3. ### Math

1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A 2)Simplify:1-csc^2theta/cot^2theta A)-1 B)1 C)tan^2theta D)1/sin^4theta I chose C
4. ### Precalc+trig

Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(2theta) = cos^2theta - sin^2theta. But I don't understand my answer
5. ### Further mathemactics

Demostrate the validity of tan^2theta-sin^2theta=sin^4theta sec^2theta
6. ### Math

There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A
7. ### math

There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees<theta<180 degrees. A)4/5 B)-4/5 C)square root of 34/5 D)-square root of 34/5 I chose A
8. ### Math

sin theta = 8/17 and theta is in the second quadrant. Find sin(2theta),cos(2theta),tan(2theta) exactly sin(2theta) cos(2theta) tan(2theta)
9. ### Trig

Solve each equation for exact solutions over the interval [0,360)where appropriate. Round approximate solutions to the nearest tenth degree. Sin^2Theta=Cos^2Theta+1 My Work: Using double angle Identity I subtract 1 to other side
10. ### trig

tan^2theta+6=sec^2theta+5

More Similar Questions