Find the value of cos square 15 degree
Answers
Answer:
cos square 15
then
cos (2×15)
cos 30
underroot 3/2
Answer:-
The correct answer is: (√3+1/2√2)
Explanation:-
cos(15°)=cos(45°-30°)
=cos45° cos 30° +sin45° sin 30°
=(1/√2 ) (√3/2) +(1/√2) (1/2)
=√3/2√2) +(1/2√2)
=√3+1/2√2
Here we have used formula cos(a-b)=cosa cosb+sina sinb
Now, cos^2(15°)=(√3+1/2√2)^2
Different formulas of trigonometry:-
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
sin(x + y) = sin(x)cos(y) + cos(x)sin(y)
cos(x + y) = cos(x)cos(y) – sin(x)sin(y)
cos(x + y) = cos(x)cos(y) – sin(x)sin(y)
sin θ = 1/cosec θ
cos θ = 1/sec θ
tan θ = 1/cot θ
sec θ = 1/cos θ
cot θ = 1/tan θ
cosec θ = 1/sin θ
For more references:-
https://brainly.in/question/4068827?utm_source=android&utm_medium=share&utm_campaign=question
https://brainly.in/question/225630?utm_source=android&utm_medium=share&utm_campaign=question
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