Evaluate tan48° tan23° tan42° tan67°
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Answer:
Step-by-step explanation:
Tan 48. Tan 23. 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 / tan 48 . Tan 23 ☓ 1/tan 23
= 1 ☓ 1
= 1
➡️The identities used in solving :
➡️ 42 + 48 = 90
➡️ 23 + 67 = 90
➡️ Tan(90 - a) = cos a
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