If (4/3) (sec² 59° - cot² 31°) - (2/3) sin 90° + 3 tan² 56° tan² 34° = (x/3) , then find the value of x.

Question

KnowledgeBoat · Accepted Answer

Solving the L.H.S of above equation using trigonometric identities, ⇒ [sec² 59° - cot² (90 - 59)°] - sin 90° + 3 tan² 56° tan² (90 - 56)° = (sec² 59° - tan² 59°) - sin 90° + 3 tan² 56° cot² 56° = x 1 - x 1 + 3 x 1 = - + 3 = + 3 = . Comparing it with R.H.S i.e., x = 11. Hence, the value of x = 11.

Mathematics

If (4/3) (sec² 59° - cot² 31°) - (2/3) sin 90° + 3 tan² 56° tan² 34° = (x/3) , then find the value of x.

Trigonometric Identities

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