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Magazine Problem 168
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \sec (\arctan (x)) $$
Problem 169
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \csc (\arccos (x)) $$
Problem 170
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \sin (2 \arctan (x)) $$
Problem 172
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \cos (2 \arctan (x)) $$
Problem 174
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \sin \left(\arccos \left(\frac{x}{5}\right)\right) $$
Problem 175
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \cos \left(\arcsin \left(\frac{x}{2}\right)\right) $$
Problem 176
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \cos (\arctan (3 x)) $$
Problem 177
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \sin (2 \arcsin (7 x)) $$
Problem 178
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \sin \left(2 \arcsin \left(\frac{x \sqrt{3}}{3}\right)\right) $$
Problem 179
Rewrite the quantity as algebraic expressions of \(x\) and state the domain on which the equivalence is valid. $$ \cos (2 \arcsin (4 x)) $$
