# Trigonometry

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Write the expression as a trigonometric function of one number.
(cos 20 degrees)(cos 70 degrees)+(sin 20 degrees)(sin 70 degrees)

• Trigonometry -

Have you come across the identity

cos(A-B) = cosAcoB + sinAsinB ?

your question fits that pattern perfectly.

Let me know what you get.

• Trigonometry -

ok I made a mistake in the formula. it's cos(20 degrees)cos(70 degrees)- sin(20 degrees) sin(70 degrees).

so it's a subraction equation not an addition.

• Trigonometry -

and of course there is the matching formula for

cos(A+B) = cosAcosB - sinAsinB

So what do you think?

• Trigonometry -

so it would be cos(20+70)?

• Trigonometry -

cos(20 degrees+70 degrees) i mean

• Trigonometry -

yes, but what is cos(20° + 70°) ??
= cos 90°
= 0

so your
cos(20 degrees)cos(70 degrees)- sin(20 degrees) sin(70 degrees)
= 0

• Trigonometry -

Yeah I got the exact value I just needed it in trigonometric function of one number which would be the degrees of cos.

Thanks!!!

• Trigonometry -

HELP ME !

sin50 cos 20 - cos 50 sin 20
^find exact value

• Trigonometry -

Pls tell me how to find out sin70.Pls

• Trigonometry -

How are the sun 70 degrees and cos 20 seg related

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