COMEDK · Maths · 8. Trigonometric Ratios & Identities
The value of \(\cos \left(35^{\circ}+A\right) \cos \left(35^{\circ}-B\right)\)
\(+\sin \left(35^{\circ}+A\right) \sin \left(35^{\circ}-B\right)\) is equal to
- A \(\sin (A+B) \quad\)
- B \(\sin (A-B)\)
- C \(\cos (A+B) \quad\)
- D \(\cos (A-B)\)
Answer & Solution
Correct Answer
(C) \(\cos (A+B) \quad\)
Step-by-step Solution
Detailed explanation
\(\cos \left(35^{\circ}+A\right) \cos \left(35^{\circ}-B\right) +\sin \left(35^{\circ}+A\right) \sin \left(35^{\circ}-B\right)\) \(=\cos \left[\left(35^{\circ}+A\right)-\left(35^{\circ}-B\right)\right]\) \(=\cos (A+B)\)
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