Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x 1,then find the values of a and b.

Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x < 1x-1=

1.	Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x < 1x-1= 20for x = 11 + cos( ft x)Ti (1 - x)?+ b, for x > 1,then find the values of a and b.
Answer» Answer: In △ABC AB=AC ⇒∠B=∠C (Angles opposite to equal sides are equal) Now using angle sum property ∠A+∠B+∠C=180 ∘ ⇒80 ∘ +∠C+∠C=180 ∘ ⇒2∠C=180 ∘ −80 ∘ ⇒∠C= 2 100 ∘ =50 ∘ now ∠C+∠x=180 ∘ (Angles made on straight LINE (AC) are supplementary) ⇒50 ∘ +∠x=180 ∘ ⇒∠x=180 ∘ −50 ∘ =130 ∘ @ARSH [email PROTECTED]_arsh_deep_29

Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x < 1x-1= 20for x = 11 + cos( ft x)Ti (1 - x)?+ b, for x > 1,then find the values of a and b.

Answer»

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight LINE (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

@ARSH

[email PROTECTED]_arsh_deep_29

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Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x < 1x-1= 20for x = 11 + cos( ft x)Ti (1 - x)?+ b, for x > 1,then find the values of a and b.​

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Ex. 8 : Iff is continuous at x = 1, wheref(x) = sin(x)+a,for x < 1x-1= 20for x = 11 + cos( ft x)Ti (1 - x)?+ b, for x > 1,then find the values of a and b.