Question

Sin75+cos15+cos75 +sin15/cot5 ×cot30×cot35×cot55×cot85 solve for brainleist

Answer 1

I hope this answer helps you

Answer 2

We know by formulas that sin(A+B) = sinA.cosB+sinB.cosA

sin(A-B)=sinA.cosB-sinB.cosA

cos (A+B) = cosA.cosB-sinA.sinB

cos(A-B) = cos A.cosB+sin A.sin B

tan(A+B)=tanA+tanB1−tanA.tanB

tan(A−B)=tanA−tanB1+tanA.tanB

sin(45−30)=sin45.cos30−sin30.cos45=12√×3√2−12×12√

⇒sin15=3√22√−122√=3√−122√=3√−122√×22√22√=2(6√−2√8)=6√−2√4

sin(45+30)=sin45.cos30+sin30.cos45=12√×3√2+12×12√

⇒sin75=3√22√+122√=3√+122√=3√+122√×22√22√=2(6√+2√8)=6√+2√4

Similarly, we can find value of cos (A+B), cos (A-B), tan (A+B) and tan (A-B).

Also, cot(A+B)=1tan(A+B), sec(A+B)=1cos(A+B) and cosec(A+B)=1sin(A+B)



I hope it will help you