Chapter 7: Q.16 (page 473)

Multiply and simplify: $\frac{(1 + \tan (θ)) (1 + \tan (θ)) - s e c (θ)}{\tan (θ)}$

Short Answer

Expert verified

on simplifying we get $2 .$

Step by step solution

Given information

We are given an expression $\frac{(1 + \tan (θ)) (1 + \tan (θ)) - s e c (θ)}{\tan (θ)}$

Multiply and simplify

We get,

$\frac{(1 + \tan (θ)) (1 + \tan (θ)) - s e c (θ)}{\tan (θ)} = \frac{1 + 2 \tan (θ) + \tan^{2} (θ) - s e c^{2} (θ)}{\tan (θ)} = \frac{s e c^{2} (θ) + 2 \tan (θ) - s e c^{2} (θ)}{\tan (θ)} = \frac{2 \tan (θ)}{\tan (θ)} = 2$

Conclusion

On simplifying we get the expression as $2 .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Multiply and simplify: $\frac{(1 + \tan (θ)) (1 + \tan (θ)) - s e c (θ)}{\tan (θ)}$

Short Answer

Step by step solution

Given information

Multiply and simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Statistics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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

Short Answer

Step by step solution

Given information

Multiply and simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Discrete Mathematics

Statistics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Multiply and simplify: $\frac{(1 + \tan (θ)) (1 + \tan (θ)) - s e c (θ)}{\tan (θ)}$