Use the Pythagorean identities to write the expression as an

Use the Pythagorean identities to write the expression as an integer. tan^2 5 beta - sec^2 5 beta ________ 5 tan^2 beta - 5 sec^2 beta __________

Solution

a) tan² 5 - sec² 5 = tan² 5 - (1 + tan² 5) = -1

b) 5*tan² - 5*sec² = 5*tan² - 5*(1 + tan² ) = 5*tan² - 5 - 5*tan² = -5