Question

Evaluate tan 48.tan 23.tan 42.tan 67 ?

Answer 1

Answer: 1

Step-by-step explanation:

Tan 48. Tan23. Tan 42. Tan 67

= tan 48. Tan 42. Tan 23.tan 67

= tan 48 ☓ tan (90 - 48). Tan 23 ☓ tan (90 - 23)

= tan 48 ☓ cot 48. Tan 23 ☓ cot 23

= tan 48 ☓ 1/tan48 . Tan 23 ☓ 1/tan 23

= 1 ☓ 1

= 1

➡️The identities used in solving :

➡️ 42 + 48 = 90

➡️ 23 + 67 = 90

➡️ Tan(90 - a) = cot a