Question

cos23° – sine67°/ tan26°. tan64º ( )
A) sin 90°
B) tan 30°
C) tan 0°
D) cot 30°​

Answer 1

Answer:

The answer will be tan 0° (option c).

Step-by-step explanation:

(cos 23° – sine 67°)/ (tan 26°. tan 64º)

(sin (90 - 23)° - sin 67°)/ (tan 26°. tan 64º) {since, cos θ = sin (90- θ)}

(sin 67° - sin 67°)/ {tan 26°. cot(90 - 64)º} (since, tan θ = cot (90-θ))

0/ {tan 26°. cot(26)º}

0.

Now, Tan 0° = 0;

Thus, Tan 0° is our answer.

That's all.