cosA+cosB=2cosA+B2cosA−B2\cos A + \cos B = 2\cos\frac{A+B}{2}\cos\frac{A-B}{2}cosA+cosB=2cos2A+Bcos2A−B This formula means that the sum of two cosine values can be transformed into the product of two cosines, where one cosine has an angle that is...
If A+B+C=360∘,prove that:1−cos2A−cos2B−cos2C+2cosAcosBcosC=0 View Solution IfA+B+C=180,prove thatcos2A+cos2B+cos2C=1−2cosAcosBcosC. View Solution In aΔABC,a(cos2B+cos2C)+cosA(ccosC+bcosB)= View Solution ...
sinAcosB - sinBcosA + sinAcosB - sinBcosA commute sin(A - B) + sin(A - B) difference formula 2sin(A - B) Report 12/01/16 Jonathan T. where does the SinAcosA and -SinBcosB go? Report 12/04/16 Jonathan T. or is (SinAcosB)-(SinBcosA) the same as (SinACosA-sinBcosB)...
To solve the problem, we need to find the value of cosA+cosB+cosC in terms of the inradius r and circumradius R of a triangle. 1. Understanding the Expression: We need to evaluate the expression cosA+cosB+cosC. 2. Using the Known Formula: There is a known formula for the sum ...
By using this identity, we can write the formula for the function sin(B−C). Answer and Explanation: Solution: {eq}\begin{align*} \text{Simplifying LHS}: \ \ &= \frac{\sin (A-B)}{\cos A \cos B} + \frac{\sin (B-C)}{\cos B \co...
RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions In any triangle A B C , prove that: (1+cos(A-B)cos C)/(1+cos(A-C)cos B... 04:54 In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the... 08:32 For any tria...
acosA+bcosB+ccosC=abc2R2 D sinA.sinB.sinC=R2r(sinA+sinB+sinC) Video Solution Text SolutionGenerated By DoubtnutGPT The correct Answer is:A, B To solve the problem regarding the triangle ABC and to verify the given equation, we will follow these steps: 1. Identify the Given Information:...
IfsinA+sinB=aandcosA+cosB=b,thencos(A+B) View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
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(cosecA−sinA)2+(secA−cosA)2−(cotA−tanA)2का मान किसके बराबर है? View Solution IfacosA−bsinA=c, thenasinA+bcosAis equal to View Solution What is1+sinA1−sinA−1−sinA1+sinAequal to ?