Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q.16

Expert-verified
Precalculus Enhanced with Graphing Utilities
Found in: Page 473
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

Multiply and simplify: (1+tan(θ))(1+tan(θ))-sec(θ)tan(θ)

on simplifying we get 2.

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given an expression (1+tan(θ))(1+tan(θ))-sec(θ)tan(θ)

Step 2: Multiply and simplify

We get,

(1+tan(θ))(1+tan(θ))-sec(θ)tan(θ)=1+2tan(θ)+tan2(θ)-sec2(θ)tan(θ)=sec2(θ)+2tan(θ)-sec2(θ)tan(θ)=2tan(θ)tan(θ)=2

Step 3: Conclusion

On simplifying we get the expression as 2.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.