Question

if x sin (90-theta) cot (90-theta) =cos (90-theta), then x=????

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

Trigonometry is the study of angles and its ratios. This study prescribes the relation amongst the sides of a triangle and angles of the triangle.

There are sine, cosine, tangent, cot, sectant and cosec ratios to an angle of a triangle.

Let me tell you an interesting fact about Trigonometry.

"Triangle" > "Trigonometry"

Remember some formulae now :

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

cosec²θ - cot²θ = 1

Want to learn more!

Here it is :

sin(A + B) = sinA cosB + cosA sinB

sin(A - B) = sinA cosB - cosA sinB

cos(A + B) = cosA cosB - sinA sinB

cos(A - B) = cosA cosB + sinA sinB

SOLUTION :

Given,

x sin(90 - θ) cot(90 - θ) = cos(90 - θ)

=> x cosθ tanθ = sinθ

=> x tanθ = tanθ

=> x = 1

Therefore, the value of x is 1.

Thank you for your question.

Answer 2

Answer:

Step-by-step explanation: