How to find tan(22{1/2}) degrees ?
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Solution:
22½° lies in the first quadrant.
Therefore, tan 22½° is positive.
For all positive values of the angle A we know that, tan A2 = √1−cosA1+cosA
tan 22½° = √1−cos45°1+cos45°
tan 22½° = √1−1√21+1√2, [Since we know that cos 45° = 1√2]
tan 22½° = √√2−1√2+1
tan 22½° = √√2−1√2+1⋅√2−1√2−1
tan 22½° = √(√2−1)22−1
tan 22½° = √2 - 1
Therefore, tan 22½° = √2 - 1
22½° lies in the first quadrant.
Therefore, tan 22½° is positive.
For all positive values of the angle A we know that, tan A2 = √1−cosA1+cosA
tan 22½° = √1−cos45°1+cos45°
tan 22½° = √1−1√21+1√2, [Since we know that cos 45° = 1√2]
tan 22½° = √√2−1√2+1
tan 22½° = √√2−1√2+1⋅√2−1√2−1
tan 22½° = √(√2−1)22−1
tan 22½° = √2 - 1
Therefore, tan 22½° = √2 - 1
Harshit8282:
Whats A1,A2
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