trigonometry solve it
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★ TRIGONOMETRIC EQUATIONS ★
AS "α" IS THE CONSTANT ANGLE , AND IT IMPLIES ON ANY PROPER VALUES ASSIGNED TO IT ...
HENCE , FOR RELIABILITY ...
WE'RE ASSUMING IT BE α = π /4
HENCE , L.H.S. BECOMES ...
1 + 1 = 2
HERE , " a " ON THE R.H.S. EQUALS TO 2
NOW , INSPECTION FROM THE OPTIONS GIVEN ...
WHERE " a " = 2 FROM ABOVE RESOLUTIONS MADE
Tan⁴α + Cot⁴α = 1⁴ + 1⁴ = 2
Now , a⁴ - 4a² + 2 = 2
SIMILARLY , YOU CAN CHECK EVERY OPTION ...
I'VE JUST MADE IT BIT CLEAR BECAUSE I'VE FOUND THE ANSWER IS OPTION B
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
AS "α" IS THE CONSTANT ANGLE , AND IT IMPLIES ON ANY PROPER VALUES ASSIGNED TO IT ...
HENCE , FOR RELIABILITY ...
WE'RE ASSUMING IT BE α = π /4
HENCE , L.H.S. BECOMES ...
1 + 1 = 2
HERE , " a " ON THE R.H.S. EQUALS TO 2
NOW , INSPECTION FROM THE OPTIONS GIVEN ...
WHERE " a " = 2 FROM ABOVE RESOLUTIONS MADE
Tan⁴α + Cot⁴α = 1⁴ + 1⁴ = 2
Now , a⁴ - 4a² + 2 = 2
SIMILARLY , YOU CAN CHECK EVERY OPTION ...
I'VE JUST MADE IT BIT CLEAR BECAUSE I'VE FOUND THE ANSWER IS OPTION B
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
Answered by
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Answer:
The answer is a^4 - 4a^2 + 2
The Image is attached!
For Clarification:
- In order to get the power as 4, we need to square twice. At that time we need to keep the identities (a+b)^2 or (a-b)^2 in mind.
- In the step 3 and 7 (image), tan^2 and cot^2 gets cancelled because cot is the reciprocal of tan. That is tan x 1/tan = 1.
Hope it helps!
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