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Reeti Mittal

· started a discussion

· 1 Months ago

issue (Question: 189937.0 )

Sir if i open the formula
(sin 45 cos(theta)-cos45 sin(theta)) - (cos45 cos(theta) + sin45 sin(theta))

then i am not getting the right answer...please clarify...

Question:
The value of sin (45º + \(\theta\)) – (cos 45º– \(\theta\)) is equal to –
Options:
A) 2 cos \(\theta\) 
B) 2 sin \(\theta\)
C) 1
D) 0
Solution:
Ans: (d)

sin (45º+ \(\theta\)) – cos (45º– \(\theta\)) 

= sin (45º+ \(\theta\)) – cos (90º– (45º+ \(\theta\))) 

= sin (45º+ \(\theta\)) – sin (45º+\(\theta\))

= 0 

Kumar Vaibhav

· commented

· 1 Months ago

@Reeti

Sin (A+B) = SinA CosB + CosA SinB

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Given solution is right approach to solve this type of question.
Keep learning !!
Best wishes
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