If Sin A B 1 2 Cos A B 1 2 Find A And B

Given data our equations are a b 30 1 a b 60 2 adding 1 and 2 a b a b 60 30 2a 90 a 90 2 a 45 putting a 45 in 2.

If sin a b 1 2 cos a b 1 2 find a and b. Dividing by 2 we get cos a cos b. Cos a b cos a b sin acosb 1 2 sin a b sin a b sum to product sin a sinb 2sin a b 2 cos a b 2 cos a cosb 2sin a b 2 sin a b 2 cos a cosb 2cos a b 2 cos a b 2 area of a triangle area 1 2 absinc 1 2 bcsin a 1 2 acsinb q s s a s b s c where s a b c 2 law of sines a sin a b sinb c sinc law of cosines cos a. Has local. Wanted sine cosine or tangent of whole angle a b finding sin a b the easiest way to find sin a b uses the geometrical construction shown here.

Want to see this answer and more. Adding cos a b cos a b 2 cos a cos b. Learn the proof of sin a b sin a cos b cos a sin b. Cos a cos b 2 sin a b sin a b in the proofs the student will see that the identities e through h are inversions of a through d respectively which are proved first.

Cos a b cos a cos b sin a sin b. Questions are typically answered within 1 hour response times may vary by subject and question. The big angle a b consists of two smaller ones a and b the construction 1 shows that the opposite side is made of two parts. Let f s v v 2 4y be given.

Find the exact value of sin a b given that sin a 4 5 and cos b 12 13 with a in quadrant iii and b in quadrant iv answer by ikleyn 32899 show source. Learn to derive formula of sin a b. Sin a 12 13 a lies in quadrant ii and cos b 15 17 b lies in quadrant i. The identity f is used to prove one of the main theorems of calculus namely the derivative of sin x.

Asked by kenneth on january 8 2012 trig. You can put this solution on your website. Which of the following statements is correct. This is a very important and frequently used formula in trig.

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