Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

How do you simplify the expression 1+tan^2θ?

Sagot :

contexto1024

The tangent theta is a Trigonometric function, the simplified value of 1 + tan²θ is sec²θ.

What is Trigonometry function ?

Trigonometric functions are also called circular functions. They are easily defined as functions of triangle angles. This means that the relationships between the angles and sides of triangles are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. Also read the triangle identity here.

We have given an expression, 1 + tan²θ

we know that , tanθ = sinθ /cosθ

sin²θ + cos²θ =1 and 1/cosθ = secθ

Now, 1 + tan²θ = 1 + sin²θ/cos²θ

taking LCM cos²θ

=> 1 + tan²θ = (cos²θ + sin²θ )/cos²θ

=> 1 + tan²θ = 1/cos²θ

=> 1 + tan²θ = sec²θ

Hence, the required expression is sec²θ.

To learn more about Trigonometric functions, refer :

https://brainly.com/question/25618616

#SPJ4

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.