Question

trigonometric formulas of class 11

Answer 1

Answer in the attachment:

Answer 2

The basic trigonometric formulas are

sin²θ+cos²θ=1

1+tan²θ= sec²θ

1+cot²θ= cosec²θ

More Trigonometric formulas:

2sin A sin B= cos(A–B) − cos(A+B)

2cos A cos B= cos(A–B) + cos(A+B)

2sin A cos B = sin(A+B) + sin(A−B)

2cos A sin B = sin(A+B) – sin(A−B)

sin A+ sin B = 2 sin [(A+B)/2] cos [(A-B)/2]

sin A – sin B = 2 cos [(A+B)/2] sin [(A-B)/2]

cos A + cos B = 2 cos [(A+B)/2] cos [(A-B)/2]

cos A – cos B= -2 sin [(A+B)/2] sin [(A-B)/2]

cos (A + B) = cos A cos B – sin A sin B

cos (A – B) = cos A cos B + sin A sin B

sin (A+B) = sin A cos B + cos A sin B

sin (A -B) = sin A cos B – cos A sin B

sin2a=2sinacosa= 2 tan a/1+tan²a

cos 2A= cos²A-sin²A

           = 2cos²A-1= 1-2sin²A= 1-tan²A/1+tan²A

tan 2A= 2tan A/ 1-tan²A

sin3A= 3sinA-4sin³A

cos3A= 4cos³A-3cosA

           

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