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Differentiation Using Substitution

34. If 'a' an...

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34. If 'a' and 'B' are two solutions of the equation a.tanx + b.secx= c, then find the values of sin( a+b ) and cos( a+b ).

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Q. If α and β are two solutions of the equation a tan x + b sec x = c, then find the values of sin (α + β) and cos (α + β).

Q. Assertion :If

α

β

are two distinct solution of the equations

a cos x + b sin x = c

tan (\frac{α + β}{2})

is independent of c. Reason: Solution of

a cos x + b sin x = c

- \sqrt{a^{2} + b^{2}} \leq c \leq \sqrt{a^{2} + b^{2}}

α, β

are solution of equation a

c o s θ + b s i n θ = c

A

B

are acute angles and

sin A = cos B

, then find the value of

A + B

Q. The value of

sin (A + B)

sin A = \frac{3}{4}

c o s B = \frac{8}{17}

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