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Can someone help me with these trig problems?

0 votes

Can someone help me with these trig problems?

asked Feb 11, 2015 in TRIGONOMETRY by anonymous

7 Answers

0 votes

40)

Step 1:

The trigonometric identity is image.

Left hand side identity = image

Apply reciprocal identities image.

image

image

Apply Pythagorean identity image.

image

= Right hand side identity.

Solution:

image.

answered Feb 14, 2015 by david Expert
0 votes

73)

Step 1:

The The trigonometric identity is .

Left hand side identity = image

image

Apply the formula difference of two squares image.

In this case image.

image

Apply Pythagorean identity image.

image

image

= Right hand side identity.

Solution:

.

answered Feb 14, 2015 by david Expert
0 votes

81)

Step 1:

The trigonometric identity is .

Left hand side identity

Apply the formula image.

image

Apply reciprocal identity image.

image

Apply Pythagorean identities and image.

image

image

= Right hand side identity.

Solution:

.

answered Feb 14, 2015 by david Expert
0 votes

85)

Step 1:

The trigonometric identity is image.

Left hand side identity = image

Apply the formula image.

In this case image.

image

image

image

Apply Pythagorean identity image.

image

= Right hand side identity.

Solution:

image.

answered Feb 14, 2015 by david Expert
0 votes

55)

Step 1:

The trigonometric identity is image.

 Left hand side identity = image

Apply quotient identity image.

image

image

image

Apply Pythagorean identity image.

image

image

image

= Right hand side identity.

Solution:

image.

answered Feb 14, 2015 by david Expert
0 votes

94)

Step 1:

The rational expression is image.

Substitute image in above expression.

image

image

image

Apply Pythagorean identity image.

image

image

Apply quotient identity image.

image.

Solution:

imageimage.

answered Feb 14, 2015 by david Expert
0 votes

102)

Step 1:

Observe figure,  the triangle is a right angle triangle.

A right angle triangle is a triangle in which one angle is a right angle(that is a image angle).

The relation between the sides and angles of a right angle is the basis for trigonometry.

Sum of three interior angles of any triangle is image.

In given triangle one angle is right angle, so remaining two angles add to image.

image

Therefore, the angle image.

Step 2:

image

Since image is in first quadrant, the six trigonometric functions are positive.

image

image

image

image

image

image.

answered Feb 14, 2015 by david Expert

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