Question

If secA + tan A = 4, then find the cos A​

Answer 1

Answer:

sec A + tan A = 4

1/cos A + sin A/ cos A= 4

1+sin A/ cos A=4

Multiply both sides by cos A

1+sin A * cos A/ cos^2 A

1+sin A * cos A/ 1-sin^2 A

1+sin A * cos A/ (1+sin A)(1-sin A)

1+sin A will be cut in the numerator and denominator and we're left with=

cos A/ 1-sin A= 4

cos A= 4-4 sin A

Thus, cos A= 4(1-sin A)

Step-by-step explanation: