A textbook problem states: prove A - 2 ^3 A/2 ^3 A - A = tan A. For A = 45°, what numerical value does the left side give?

Question

Accepted Answer

1. The expression simplifies to tan A. At A = 45°, tan 45 = 1. (Check: sin45 = cos45 = 1√2; numerator and denominator are equal in magnitude with same sign, giving 1.)

A textbook problem states: prove $\frac{s i n A - 2 s i n ^{3} A}{2 c o s ^{3} A - c o s A}$ = tan A.
For $A = 45$ deg, what numerical value does the left side give?

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More Class 10 Trigonometric Identities practice

A textbook problem states: prove 2cos3A−cosAsinA−2sin3A​ = tan A.For A=45 deg, what numerical value does the left side give?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Trigonometric Identities practice

A textbook problem states: prove $\frac{s i n A - 2 s i n ^{3} A}{2 c o s ^{3} A - c o s A}$ = tan A.
For $A = 45$ deg, what numerical value does the left side give?