Question

what is tan(3π/2 - theta)?​

Answer 1

Answer:

cot(theata

Step-by-step explanation:

tan(270-theata)=cot(theata)

Answer 2

cot(theta)

Given

• a trigonometric expression

To find

• the simplified form or the resultant form of the given expression.

Solution

we are provided with a trigonometric expression of the function tan and are asked to find the simplified form of the given expression.

we know that trigonometric functions value changes according to angle and even the angle revolve around the four quadrants

therefore the given angle is basically a integral multiple of a basic angle.

This knowledge will be used as a hint to find the correct answer of this question.

the angle 3π/2 = (3×180)/2

or, 3×90

or, 270

therefore the given expression would mean tan(270 - theta)

which could be written as tan(180 +(90+theta))

or, tan(90+theta)

or, cot(theta)

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