Question

Evaluate sin23 cos67+cos23 sin 67

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

$\red {value \:of \:sin23cos67 + cos23sin67 }\green {= 1}$

Step-by-step explanation:

$sin23cos67 + cos23sin67 \\= sin(90-67)cos67+cos(90-67)sin67\\=cos67 cos67 + sin67 sin67\\= cos^{2}67 + sin^{2} 67\\= 1$

$\boxed { \pink { cos^{2}A + sin^{2} A = 1 }}$

Therefore.,

$\red {value \:of \:sin23cos67 + cos23sin67 }\green {= 1}$

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