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Trignometry

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2 Feb 2012 22:29:34 IST

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trignometric ratios and identtiies.

Mathematics

What is the value of,cos^2(22) + cos^2(33) + cos^2(35) / 1 + sin(22).sin(33).sin(35)

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Nikhil Ulhas Karve

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Joined: 18 Jan 2012

Posts: 31

3 Feb 2012 00:12:14 IST

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If you observe carefully then the sum of angles i.e 33+35+22=90.

I can assume These angles to be part a triangle ABC with

A/2=33

B/2=35

C/2=22

Now

Simplifying we get

Now using the property of triangles ::cos A + cos B + cos C =1 +4sin(A/2)sin(B/2)sin(C/2)

we get the answer to be

Nikhil Ulhas Karve

Cool goIITian

Joined: 18 Jan 2012

Posts: 31

3 Feb 2012 00:13:35 IST

Like 0 people liked this

A small correction:

its " part OF triangle ABC"

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