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(i) sin (alpha + beta) = sin alpha cos ...

(i) `sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta)`
(ii) `sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta`
Proof

Answer

Step by step text solution for (i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • If sin alpha = sin beta and cos alpha = cos beta then

    A
    `sin""((alpha + beta )/(2))=0`
    B
    `cos""((alpha + beta )/(2))=0`
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    B
    `cos(((alpha+beta))/2)=0`
    C
    `sin(((alpha-beta))/2)=0`
    D
    `cos(((alpha-beta))/2)=0`

  • If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha - beta )=

    A
    0
    B
    `1`
    C
    `-1`
    D
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