Find sin 22 cos 78 +sin 78 cos 22
Answers
sin (90-22)×cos 78+sin78+cos (90-22)
cos22×cos78+sin78+sin22
cos^2 90+sin^2 90
(1)^2 + (0)^2
1+0
1
sin 22° cos 78° + sin 78° cos 22° = 1
Given :
The expression sin 22° cos 78° + sin 78° cos 22°
To find :
Find the value of the expression
Formula :
sin (A + B) = sin A cos B + cos A sin B
Solution :
Step 1 of 2 :
Write down the given expression
The given expression is
sin 22° cos 78° + sin 78° cos 22°
Step 2 of 2 :
Find the value of the expression
We are aware of the Trigonometric formula that
sin (A + B) = sin A cos B + cos A sin B
Thus we get
sin 22° cos 78° + sin 78° cos 22°
= sin 22° cos 78° + cos 22° sin 78°
= sin (22° + 78°)
= sin 90°
= 1
Correct question : Find sin 22° cos 78° + sin 78° cos 22°
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