Question

Given that sin theta = a/b, the value of tan theta is equal to b/√b2-a2
true/false
class 10 pls answer it's urgent
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Answer 1

Answer:

false.

Step-by-step explanation:

sinθ = height/hypotenuse

a/b = height/hypotenuse

      Using Pythagoras theorem,

⇒ base^2 + a^2 = b^2

⇒ base^2 = b^2 - a^2

⇒ base = √b^2 - a^2

  Hence,

tanθ = height/hypotenuse

       = a/√b^2 - a^2 , not b/√b^2 - a^2

Hence, it is false.

Answer 2

Answer: False

Step-by-step explanation:

Let us know some trigonometry basics to solve this question.

Sin∅ = opposite/hypotenuse

Cos∅ = adjacent /hypotenuse

Tan∅ = opposite / adjacent

Cosec∅ = Hypotenuse/opposite

Sec∅ =hypotenuse/adjacent

Cot∅=adjacent/opposite

By the given information

Sin ∅ = a/b

Opposite side = ' a'

Hypotenuse ='b'

Let the adjacent side be 'x'

By Pythagoras theorem

b^2 = a^2 + X^2

b^2 -a^2 = x^2

X = √ b^2 - a^2

So tan∅ = a/ √b^2- a^2

•°• GIVEN STATEMENT IS FALSE.

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